I'm not much of an enchanter besides pulling the enchantments off of each armor or weapon I find until I have each one (or most of them), but certain things in the game I find, notably the Notched Pickaxe, seem to be oddly enchanted. I know this is, in part due to loot lists, but is there any set of gear or individual enchanted items that you've made that is... "odd" (for lack of a better word)?

I wouldn't really call anything I made myself with enchanting odd, but an interesting enchantment you can find is Firey Soul-trap. Which basically works like 2 enchantments in the place of one.

What does fiery soul trap do?

Fiery Soul Trap...Fire damage10pts+Soul Trap,so with your enchantment perks you can have three enchantments on one weapon.