T'bird Sport has 17'' wheels (to fit sport tires), adjustable suspension front and rear, narrow bars, different mufflers, blacked out engine, rear-set pegs. No power difference in spite of the official product literature claims to the contrary. The cafe racer in the family.
T'bird has bigger wheels, more chrome, higher bars. Sort of a gentlemanly roadster.
Legend is kind of a decontented T'bird, with blacked out engine, single colour paintwork, lower seat height and wheels somewhere between the T'bird and the Sport. 5 speed only I guess. Your basic no-frills standard.
Adventurer - similar to T'bird but with Harley pretensions such as two piece seat, mini-apes (on the early ones), strange bobbed rear fender, funkier paint schemes and a lot of chrome IIRC.
The sub-frames differ slightly between makes and years as does standard equipment. Some small differences in the fenders. Kind of like the BA and Speedy - same basic bike (until the 900 engine) just different trim.
All great bikes with a wonderful bulletproof motor. They were rated very highly as new bikes back in the day, and the much-respected British "Bike" magazine gives them 4 stars and a v. good rating as a used buy. They were the best selling Triumph in North America for a while, I believe, but in the big scheme of things they are a niche bike that most people would pass up, so you can get great deals.
Chris