From the side-bodylock hit a rear drop throw by placing your foot behind his far heel and pull/drop him backwards over it. If you want to keep your partner happy, don't sit htrough his nearside knee when you drop.
Another one, lift him and sweep his legs forward while throwing his upper body backwards.
From the front-bodylock just wrap one leg around his and hook his leg with your head on the opposite side of his head and drive him over his trapped leg. Try to slide your rear leg through to mount. Also once he's going over and can't recover, open your hands and land on him (very important habit for the street). I tell people to do a body arch like you see skydivers do to land on their opponent and get their arms out.
These are the simplest from the bodylock. Go back and read Jims description of the "digging" clasped hands grip in a recent thread. This is a very important point and I use my head with it to dig, lift and drive my opponent over.