Broadening someone's sci-fi horizons

[Vormaerin]

CJ Cherryh's Merchanter books are very Traveller, but they are novels rather than Short Stories. They aren't generally very long, but they are novels. Merchanter's Luck is a great free trader story.

Poul Anderson's Polysotechnic League stories are a collection of short stories (several of them). John Falkayn is probably more approachable than Nicholas Van Rijn.

 

[Fluffy Bunny Feet]

Andre Norton has some good ones too.

 

[mavikfelna]

I love almost all of these.
For the traveller merchant princes out there, might I add the Tales of the Solar Clippers universe by Nathan Lowell. Fantastic slice of life stories. The Captain Wang books are pretty much him going through character gen as adventure and the Run trilogy is basically a Scout and Merchant having adventures.

 

[Absinthe]

Some of Asimov's short stories. The Singing Bell is very good and is easy to make into an adventure for the Travellers.