Group of bangaii cardinal fish (5+)
I don't know enough about these to comment. I like them and they will certainly fit in your tank, but others say groups will kill off individuals.
Group of lyretail anthias (5+, 1 male, 4 females?)
If you don't want to cover your tank, then avoid these. I love my Lyretail Antias, but these are hands down much bigger jumpers than any wrasse. Also, Anthias are very active fish, and probably need a bigger space than 75gal. They are fascinating fish, though, and if you were to do it, you would want to buy all females. Don't try with a male and a group of females. Buy all females and let nature take its course.
Yellow tang (nice looking, but everyone has one)
I cannot think of a hardier tang with more color and a better temperment. It's no wonder lots of people own them. A 75's a little on the small side for long-term considerations, but it would likely be cool for a long time, if not its whole life.
Yellow kole eyed tang (cool fish, smaller sized, good grazer)
All that is true, and along with the yellow, one of the few tangs that does well in a 75.
Zebra moray eel(to big for a 75 gallon?)
I don't know if they get too big, and how fast. They are no danger to fish as reported above. Like all eels, though, they are amazing escape artists, and you would not only need to cover your tank, but cover it very securely.
Juvy French angelfish (yes i know it's not usually done)
Not reef safe by any means. Beautiful as cute juveniles, but these fish reach enormous proportions. This would definitely outgrow your 75, and you'd have to find a new home for it. I don't advocate taking these fish from the wild unless you can house it for its life or you are certain you can secure a safe home for it once it outgrows your tank.
Saragassum (red tail) triggerfish
I've never kept one, but while researching them, I did learn that they too grow very large, and take to confinement very poorly (they need lots of swimming room). Keeping one in too small a tank apparently corresponds well to destructive behavior. Also, all crustaceans are goners, but they are pretty reef safe.
Juvy emperor angel (i know they get big..)
Like the French Angel, these do get big (although nowhere nearly as enormous). They are also not reef safe, but people have had some success with them short-term in reefs with respect to certain corals.
Group of Dragonface pipefish (kind of cool, but not that active?)
I've never kept these and don't know anything about them, although if these pipefish are like other pipefishes, they really need a special setup akin to seahorses.
Scott's fairy wrasse (hopefully a pair if i could find one)
Wrasses are excellent fish for tanks that size. Wrasse photograph poorly (they are better in real life), and I would look at all sorts of reef safe wrasses. Of course, you would need to provide some guard against jumping.
Matt