Clerics/monks/shamans are my favorite class to play - I like the tough restrictions that come with playing someone who is lawful good or neutral good, and I like having the constraints on magicka and weapon choices. I find that I enjoy the role play much more, because I have to really think through all of my choices and plan my decisions.
I do also really enjoy assassins though - wiping out an entire room of bandits with stealth archery before anyone even knows I'm there brings great joy to my heart.
And once in a great while, I do like playing a great beast of a character that just mows down everything in her path.
I do not like any particular Archetype, as they all fall short in some way.
Warrior: Good for fighting, but has no other approach besides run at it and bash it's head in. Least Favourite.
Thief: Good for stealth (obviously), but if you are caught, the gigs up.
Mage: This one is my favourite (still don't like it pure though), Incredible offence, as armour in sky rim only block physical, but horrible defence.
Wizards are my favorite class to play in Skyrim (especially Conjuration/Illusion specialists). I actually make it challenging by using only clothes given to me by the game rather than craft my own robes (hooded necromancer robes with the boots worn specifically by mages and no gloves).
I loved my Berserker build and being able top rush through countless enemies effortlessly but what I always resort to is playing an Assassin due to the fact that I love being able to go through an area killing enemies one by one without their friends even knowing till they get the business end of blade. Also ever since I first played TES I immediately fell in love with the Dark Brotherhood and then in Skyrim I carried over my assassin play style.
You can't spell assassin without two ass's and an in
I get bored playing the same class and love to switch it up but being a sneaky mage is definitely my favorite: Sneaking + Illusion + ( Weapon (enchanted or poisoned) or Destruction )
Make's the gameplay more strategic and less of a click-fest and a triumph of brains over brawn (or so it seems)
Any combination of Mage and Warrior. I am the Magic Knight/Battlemage/Spellsword/ whatever you want to call it. I also love pure non-magical weapon users. I find stealth boring though, and games that revolve around their stealth mechanics are boring to me.
For Roleplaying though, I prefer holy and religious classes like Crusaders, Clerics, and Paladins. For some reason I adore smiting evil with righteous power, along with role-playing a devotion to my deity in fantasy rpgs. Non-magical characters are also fun to rp with, especially in settings where spellcasting is common.