I'm kinda torn between 1h+ shield and Magic. I despise dual wielding, and I like blocking too much to use a 2h. They're each fun in their own way, and useful at different times. Fighting a dragon? Dual charged Firebolt will set him straight. Fighting a small army of shrieking stormcloak barbarians? Off with their heads! BTW, you forgot archery, which is a perfectly viable combat style, though I don't find it as intense and fiery explosions or impaling someone on a sword.
Is a bow considered 2-handed? I choose the bow. I have every bow perk, plus everything I'm wearing increases arrow damage. My current bow does 155 damage, which can kill a giant in one shot with the 3.0x multiplier, and kill a lesser dragon in 4 shots, and a greater dragon in 6 or 7.
I've been playing my pure Mage Character (not even a staff) and Its been great. I just got my conjuration to 100 and with my thralls I don't even need to waste time summoning fresh dremora lords (unless the enemies are too tough). Magic and Magic Regen with the proper equipment makes this a viable option, much improved from oblivion.
With +250 % Magika Regeneration and plus 100ish Mana (total 550) its been great
Dual Wield fire spells at distance and a conjuration spell every now and then. When they get too close I change to Dual Wield swords! Astonishing damage! ^^
As for the armor I'm using full light armor enchanted with reduced cost for spells and some stamina buffs, except for the head, which is cloth to reduce spell casting! ^^
I'm torn between everything. I find most of the types satisfying. Right now I'm going as a War Alchemist. I use Two-Handed weapons and bows. I use Alchemy to enhance the weapons with poisons such as paralyse. It's quite fun :)
So if I had to say an absolute favorite, it would be two handed. But, I haven't found any cool or unique two handed weapons yet...
I would've said 1-handed and shield but I just can't get past my new archery/dual wield character. Dual Wield a sword in your main hand, a dagger in your other, get both ranks of Dual Flurry (+35% attackspeed) and pop Elemental Fury. Its utterly insane, you can tear through 4-5 soldiers in 1 second spamming the dual wield standing power attack.