Like for 1 handed swords I like dragon bane katana
For war axe I like the dawnguard axe
For dagger I like the ebony dagger
For two handed sword I like the dragonbone
For maces I like the ebony
For two handed axe I like the ebony
For two handed mace/hammer the dawnguard
For bows I like the dwarves crossbow.

Just curious of what weapons of each kind people liked the most.

I tend towards the same weapons on this current playthrough. Although I have started using Sword/Mace/War Axe and Shield for the first time, very effective. Also I would rather use my Deadric Bow over the Crossbow, until master in archery then whichever is more effective. I do not really use Two-handed weapons but if I did, it would be Rahlads Hammer (failed spelling, apologies); the thing weighs 18 lbs so it would be the best choice for me with a high Two-handed skill.

My favorites as of now are:

Sword/War Axe would be Ebony or Deadric
Mace is always the Mace of Molag Bol
Rahlad's Hammer/Dawnguard Hammer
Shield for now is Spellbreaker/Targe of the Blooded until I have reached 100 in enchanting for dual enchantments