Whats a good character that doesn't rely on items?

[Kartoffelsalat]

Most characters that are not a strict melee build are not very dependent on items. If you take away a good caster's items, they'll be worse; if you take away a melee character's items, they'll be worthless.

In 1.10 the hammerdin is a very powerful build. The huge damage he gets from synergies and the fact that BH is very hard to resist makes it a pretty lethal build.

Just judging by the numbers of them I see on b.net, I'm going to wager that fire sorcs and wind druids are also a pretty good build. You might also want to give a zookeeper a shot.

I've never tried any of these builds, so most of what I've told you is hearsay, but should still hold true.