I commend the OP for enjoying tripping.
For my case and experiences, well, Pit has some of this when the opponent's at 0%:
-F-throw > Stutterstep F-smash on about half the cast. This alone does 29-30% damage if not stale, and it even works on MK.
-F-throw Chaingrab, in which depending on the character, Pit can seal the deal with the stutterstep F-smash for even more damage. DK can suffer about 45% damage right there if performed correctly.
Unfortunately, random tripping has screwed me over so that I couldn't perform it completely. Oh, and you know the worst part? When you're near a ledge, and you want to dash to the ledge so you can edgeguard an opponent or just wanting to ledgecamp in hopes to regain momentum, random tripping happens right there and you either miss your opportunity to edgeguard or you get caught by your opponent. Even random tripping happens when I try to perform a pivot grab. Stuff like that has costed me matches and sets (granted I'm wifi only, but don't bash me for that), and I don't enjoy it.
As for move-based tripping, Pit really doesn't have any tripping-inducing moves except like D-smash at low percentages, not that it'll do him any good. All in all, random tripping is too much of a hazard to me, and should never come back, and shall be glad it won't return.