Detect Thoughts/Discern Lies = Legilimens
High Will Save or Mind Blank = Occlumency
Modify Memory = Obliviate
Suggestion/Domination = Imperio
Power Word: Pain/Wrack/etc = Crucio
Power Word: Kill/Blasphemy = Avada Kedavra
Knock = Alohomora?
Teleport, Word of Recall = Apparation and Portkeys
Tree Stride ~= Floo Network?
And many more...
Time turners are just cheap and totally should have been abused. (At least, the losing side should have abused them when they still had the chance.)
As for statting them out, I'd think they have to be sorcerers, but with tons more spells known, and a dependency on a wand. (Wandless magic has serious penalties.)