Jai - short, strong, I like it
Caspian - reminds me of Caspar the Friendly Ghost?
Bodhi - different, quite boho / alternative
Leon - sounds a tad old-man'ish?
Hugo - love love love Hugo!
Louis - classic, timeless
Jasper - whilst I can't escape the Twilight association, I do think its a fresh, unique name
Flynn - gorgeous as a young boy, charming and respectable as an adult!
Overall, I like a lot of your choices :)
Jai - Wouldn't be bad as a nickname but to me, it feels incomplete.
Caspian - I know it's a recent invention but I really like it.
Bodhi - I don't care for it.
Leon - It feels so dated.
Hugo - This isn't bad but whenever I say it in my head, I think of "huge-o".
Louis - I prefer Lewis. In my area, Louis would be pronounced the same way as Lewis and to me, Lewis is more aesthetically appealing.
Jasper - My second favorite on your list.
Flynn - This one is my favorite.
Jai - a little too short to me. feels slightly insubstantial?
Caspian - I like this ok but it reminds me of the Sea, and I prefer Caspar, Cassius and Caius.
Bodhi - I like this.
Leon - I like this. I prefer Leo, but I like Leon better than Leonard and Leopold.
Hugo - Love.
Louis (Lou-wee) - Love with this pronunciation.
Jasper - Love.
Flynn - Love.
Jai - may have prn. problems, fine but I prefer Kai
Caspian - really love this one!
Bodhi - have always hated this name
Hugo - I think this is adorable
Louis (Lou-wee) - Also cute, but be prepared to hear it prn Lew-is A LOT
Jasper - love
Flynn - also love