Some HULK powers like:

Super melee attacks
Thunder clap
Punch ground attack
Grab and throw (or smash on ground) peds, it's not precise yet, the grab fail more than work 
Grab lamp pole and use like an baseball bat
Lift vehicles or dumpster and throw them
Big jump attack
Direct attack against targets
Big jump to reach top of buildings or cover big distances
Grab launched rockets and throw them
Wall climb
Extra speed when running/swimming fast

Tested in patch 1.0.4.0, 1.0.7.0 and EFLC first patch

Full details, screenshots and extra files:
Look at my blog