In the old days the attack type determined if it was physical or special. Now you have to look at the move and if it has the rings it is special; physical moves have kind of a bomb blast symbol. Moves that have priority usually say in the description always goes first or always goes last or something to that affect. I might be missing some of the new moves.
-7 Trick Room
-6 Roar, Whirlwind, Dragon Tail, Circle Throw
-5 Counter, Mirror Coat
-4 Avalanche, Revenge
-3 Focus Punch
-2 None
-1 Vital Throw
0 All moves not listed.
+1 Ally Switch, Aqua Jet, Bide, Bullet Punch, Ice Shard, Mach Punch, Quick Attack, Shadow Sneak, Sucker Punch, Vacuum Wave, Water Shuriken
+2 Extreme Speed, Feint
+3 Endure, Fake Out, Follow Me, Quick Guard, Rage Powder, Wide Guard
+4 Detect, Magic Coat, Protect, Snatch
+5 Helping Hand
+6 Switching, Rotating in rotation battles
+7 Pursuit on switch