Trufax: first place I went to to fact-check Terry's history and personality while working on his apps was TVTropes, not Wiki. So most of these are straight from the Batman Beyond page.

The Atoner (http://tvtropes.org/pmwiki/pmwiki.php/Main/TheAtoner) Okay, so he wasn't a Big Bad, but he was in a gang and was in prison.
Badass Normal (http://tvtropes.org/pmwiki/pmwiki.php/Main/BadassNormal) One cannot be Batman without being this trope. (Except for that one episode where he was half vampire bat)
Clothes Make the Superman (http://tvtropes.org/pmwiki/pmwiki.php/Main/ClothesMakeTheSuperman) I've been leaning on this a bit harder then the show did, actually.
Combat Pragmatist (http://tvtropes.org/pmwiki/pmwiki.php/Main/TheCombatPragmatist) If insulting Tim's dead family in a fight wasn't this trope, I don't know what is.
Dating Catwoman (http://tvtropes.org/pmwiki/pmwiki.php/Main/DatingCatwoman) More like blatantly sexing her up after she broke into your house...
Deadpan Snarker (http://tvtropes.org/pmwiki/pmwiki.php/Main/DeadpanSnarker) Another requirement to being Bats.
Hannibal Leture (http://tvtropes.org/pmwiki/pmwiki.php/Main/HannibalLecture) The movie, doubling as a Crowning Moment of Awesome.
Impossibly Cool Clothes (http://tvtropes.org/pmwiki/pmwiki.php/Main/ImpossiblyCoolClothes) The Suit.
Powered Armor (http://tvtropes.org/pmwiki/pmwiki.php/Main/PoweredArmor) Again, the suit, but a lot less bulky. In fact, it has a rather slenderizing effect, I'd say.
You Killed My Father (http://tvtropes.org/pmwiki/pmwiki.php/Main/YouKilledMyFather) Perhaps the best version of this type of scene ever.