Here goes:
                                Height, Weight, & Age Tables
Height & weight:
Race & Sex/Base height / Height modifier / Base weight / Weight modifier
Human , Male:/         5’4”    /           +2D10        /      120lb       /    (X2D4lb)
Human , female:/        4’10”   /          +2D10     /           90lb       /    (X2D4lb)
Minbari , male:/        5’4”    /           +2D6          /       130lb      /    (X2D6lb)
Minbari , female:/       4’10”    /          +2D6         /       110lb  /        (X2D6lb) 
Centauri , male:/        5’4”     /          +2D6     /            140lb      /    (X2D6lb)
 Centauri , female:/     4’10”    /          +2D6    /            110lb   /       (X2D6lb)
Narn , male:/             5’4”      /          +2D10      /        130lb      /     (X2D6lb)
Narn , female:/          4’10”      /        +2D10       /       110lb   /        (X2D6lb)
Abbai , male:/           5’             /      +2D6         /       100lb     /      (X2D4lb)
Abbai , female:/        4’10”         /      +2D6         /       100lb    /       (X2D4lb)
Brakiri , male:/         4’10”        /       +2D12       /       110lb     /      (X2D4lb)
Brakiri , female:/      4’5”     /            +2D12   /             85lb   /          (X2D4lb)
Drazi , male:/           4’10”  /             +2D12       /       140lb    /       (X2D6lb)
 Drazi , female:        4’10”   /            +2D12     /          140lb     /     (X2D6lb)
Gaim , diplomatic:/   5’2”       /          +2D6       /          130lb   /       (X2D4lb)
Vree , male:/           4’5”        /         +3D6       /            85lb /         (X2D4lb)
Vree , female:/       4’5”        /          +3D6         /          80lb     /     (X2D4lb) 
The Weight modifier can be obtained by  multiplying the height modifier by the result of the die roll shown between parenthesis under “weight modifier” .
  
Characters age:
Race & Sex:/          Base Age  / Variable 1  /   Variable 2  /  Variable 3
                                                                      
Human , Male:/          20 years   / +1D4 years  /  +2D4 years  /  +3D4 years
Human , female:/       20 years  /  +1D4 years  /  +2D4 years /   +3D4 years
Minbari , male:/         18 years  /  +2D10 years  / +3D10 years /  +2D10 years
Minbari , female:/      16 years   / +5D4 years  /  +5D6 years  /  +5D4 years 
Centauri , male:/        20 years  /  +2D10 years /  +1D10 years / +1D4 years
Centauri , female:/     20 years  /  +2D10 years / +1D12 years / +1D8 years
  
Narn , male:/              14 years  /  +2D6 years  /  +4D4 years  /  +4D4 years
Narn , female:/           12 years  /  +2D8 years  /  +4D6 years  / +4D6 years 
Abbai , male:/            16 years  /   +1D6 years  / +2D6 years  /  +3D6 years 
Abbai , female:/         16 years   /  +1D6 years /  +2D6 years /   +3D6 years 
Brakiri , male:/          16 years   /   +1D4 years / +2D4 years   /  +3D4 years
Brakiri  , female:/      16 years  /    +1D4 years / +2D4 years  /   +3D4 years
Drazi , male:/            18 years  /    +1D4 years  / +2D4 years  /   +3D4 years 
Drazi , female:/         18 years  /    +1D4 years  / +2D4 years  /   +3D4 years 
Gaim , diplomatic:/  0* years   /    +0* years   /  +0* years     /    +0* years 
Vree , male:/            40 years    /   +1D6 years / +2D4 years   /   +3D6 years
Vree , female:/         40 years   /    +1D6 years / +2D4 years   /   +3D6 years
* All Gaim characters are born fully formed , both physically and intellectually , but 1D6 years should be added to the initial age of the character .
Variable 1:
Humans , Abbai , Brakiri , Drazi , Vree , Narn: Soldier , Lurker , Worker (blue collar) . 
Minbari: Warrior caste. 
Centauri: Noble . 
Variable 2:
Humans , Abbai , Brakiri , Drazi , Vree , Narn : Agent , Officer , Telepath , Trader Worker (white collar , performer). 
Minbari: Religious caste. 
Centauri: Plebeian , 
Variable 3:
Humans , Abbai , Brakiri , Drazi , Vree , Narn : Diplomat , Scientist . Minbari: Worker caste . 
Centauri: Eslave .
Age effects:
Race:/      Adulthood *   /  Middle age (1)  /  Old   (2)  /  Venerable    (3)  /   Maximum age (4)
                                              
Human:/  21 years    /    45 years / 65 years / 80 years  /  +3D10 years
Minbari:/ 19+1D3* years / 50 years / 75 years /  100 years / +2D10 years
Centauri:/ 22 years     /   50 years / 70 years / 90 years  / +2D10 years  
Narn:/      16 years    /    50 years / 80 years / 100 years /  +3D10 years
Abbai:/   16+1D2 years  /  60 years / 110 years / 130 years / +2D10 years 
Brakiri:/ 16 years      /     40 years  / 60 years  /  80 years  / +2D10 years
Drazi:/   16+1D3 years /  50 years / 75 years  /  90 years / +4D10 years  
Gaim , diplomatic:/    0* years  / 35 years / 40 years  /  45 years  / +1D6 years
     
Vree:/       40 years   /   100 years / 150 years / 180 years / +2D10 years
* Different races or cultures have different customs or laws to recognize that an individual has reached  a full adult status , according to social custom or to rites of passage  frequently related to biology . 
Minbari , for example , are formally and legally considered as adults  after the ritualistic ceremony that is celebrated after the final fusion of the two halves of their crests is complete , and in which the individual’s crest is carved by the first time . Due to this , does not exists one determined age as such , in which a young Minbari of any sex or social condition can be considered as an adult , although at the age of 22-23 years , it is considered that even if the final fusion of the crest has not happened yet , the individual has reached an state of maturity enough to be considered formally as an adult . 
The same –biological differences apart- happens to the Abbai when they shed their final “adolescent” epidermal layer and grow their “adult” layer . 
Other races , as the Humans or the Centauri consider that an individual “comes to age” after he/she reaches a determined age  -21 years in the Earth Alliance , or 22 in the Centauri Republic- , while the Brakiri consider that after two years at his/her first job (or “piras colo”) , any Brakiri can be  considered legally as an adult (and exploited as such 8) )  .
** All Gaim characters are born fully formed , both physically and intellectually .
(1) -1 to Strenght (Str) , Dextery (Dex)  & Constitution (Con) , + 1 to  Intelligence (Int) & Wisdom (Wis) .
(2) -2 to Strenght (Str) , Dextery (Dex)  & Constitution (Con) , + 1 to Intelligence (Int) & Wisdom (Wis) .
(3) -3 to Strenght (Str) , Dextery (Dex)  & Constitution (Con) , + 1 to Intelligence (Int) & Wisdom (Wis) .
(4) Upon reaching the maximum age , a character dies , although lifespans can be abnormally shortened or lengthened due to exposure to the effects of exotic radiations or biochemicals , or (as it happened to Delenn) highly advanced (i.e. First ones)  technologies . 
Additionally , the "frontier" between age categories can be modified by a die roll . Roll 1D10 ; if the result is 1-5 the character passes to the next age category (and suffer its effects accordingly) years before than usual  ; if the result is 6-9 , the effect of age do not take its toll until later than it is normal . a die roll of  "0" results in no change to the age category limits . 
In each case , the number of years that mark the age category change it is directly related to the die roll result:
1: -5 years  ; 2: -4 years ; 3: -3 years ; 4: -2 years , 5: -1 year .
6: +1 year ; 7: +2 years , 8: +3 years ; 9: +4 years .
0: Standard age category
Example : 
John De Soto , a human starfarer , is approaching the middle age threshold (he is 40 now) so the GM determines that he is susceptible to suffer from age effects , and accordingly,  orders the player that he should roll to determine when the age will begin to take its toll on Mr De Soto. The player rolls 1D10 and obtains a result of 4 , so , when the character reaches the age of 43 , he will enter in the middle age threshold , losing -1 to Strength , Dexterity , and Constitution , but gaining a +1 to Intelligence and Wisdom . he will be less strong and with slower reflexes , but his life experience will make him a little more wise and knowledgeable . 
Please , take into account that these modifiers can differ slightly from those presented in some of the racial sourcebooks , due to the fact that I believe that these are more adjusted to the series canon ... or to what can be  extrapolated from the characteristics and appaearance of the different races . Of course , if you don´t like something , you are free to make any changes to better suit your own ideas .