A lot of the ones I'd recommend are already here, but for a pillar of the genre is regards to movies (that aren't Ghibli), I always recommend Akira. (language and violence warning)

I'd say for an older anime, try something like Dominion Tank Police if you tried and enjoyed Ghost in the Shell. The whole thing is on youtube with good quality (dubbed, but hey)

For something newer, you could try Black Lagoon, but maybe not around young kids. (language and violence warning.)