I persoanlly love hunting bows. They look awesome and fire the fastest out of all the bows (or so I am told). Glass daggers look epic too. Oh, and how can I forget Volendrung.
I never really got into the name enchanting weapons thing. Hopefully, the Orc I'm playing now will change that :D
Longbow (unenchanted) and Steel Dagger (unenchanted) for a ton of my play throughs, but enchanted weapons then probably Nordic Carved or Ebony. I mostly play as sneak characters so weapons aren't all that important. I love the Iron and Steel weapons aswell, as I play on Novice, so again I have more freedom with that
Lucifer's Witcher swords. These are 2h weapons but the silver sword has an option that enables you to forge and wield it as a 1h and used it with a shield. Works fine for my Nord Dragonborn as he can use the 1h style in dungeons and ruins while still building his stats for 2h wielding. Being silver of course the smaller blade does extra damage to those vulnerable to silver weapons and only having a weight of 1 has a really fast strike rate in line with the Witcher legend from CD Projekt. The stats have been tweaked down to reflect the fact that the strike rates are faster. The swords are fully upgradeable and can be forged at a normal blacksmiths. The superb version stats fall somewhere between Ebony and Daedric 2h sword stats