What weapons do you have to have? That accompany you the most? I have a high-level character, so there's a lot of enchantment involved, but I'd like to hear what standard weapons are preferred.

Since I like to play a stealth game my preference is for bows, specifically:

Ebony bow (epic), damage 110, 41 points of frost damage to health and stamina. In sneak mode most bandits are down in one shot (depending on the arrow type).

Ebony bow (flawless). damage 102, burns target for 48 points (fire is a good, all-around damage provider).

Up close and personal:
Ebony war axe (legendary), damage 103, 53 points of frost damage to health and stamina, 53 points of shock damage, and half as much magicka damage. Three or four hits takes out a Falmer Warmonger.

Ebony mace (legendary), damage 107, burns target for 51 points, absorb 31 points of health.

And, when I'm in the mood for two-handed:

Ebony warhammer (legendary), damage 87, absorb 26 points of health, 42 points of shock damage and half as much magicka damage. I created this weapon just to do damage to Falmer.

I play on master difficulty.

Daedric Bow - 379 damage + Paralyze enchantment (2 fortify archery enchantments)
Mehrune's Razor - 106
Blade of Woe - 174 + 10 Absorb Health
Daedric Swords (2) - 200 damage including absorb health