I've started a couple of new characters recently.
The first was inspired by a idea I had of sword-and-shield wizard blasting things at close range. I had a few attempts using the sorceror class but I didn't like the skills very much, but now I think I've found it with a dragonknight. Most DKs I've seen seem to use the spells to support melee fighting, but I think I can get it to work the other way with the DK and Mages Guild skill lines. Because this is a proper new character I hate having the shared bank and champion points, so she's parked at level 6 while I figure out what to do. I might restart her on the American server, but that would be a one-shot thing so I need to make sure I don't think of something better that I want to start from scratch.
The other new character is making full use of the bank and champion system, and I'm going to power to level 50 as quickly as possible. My main character is supposed to be a bow-using stealthy hunter with a side-line in dual-wielding. I mix it up a lot, and I've got one cool move where I rapidly switch weapons four times to chain skills together, but I spend more time dual wielding because it's more effective in general play. The only time I consistently use the bow is against the biggest bosses where the higher DPS and safety of distance come into play. I also decided I wanted more gold so I started stealing, which breaks character, and I've been spending more time in Cyrodiil, which doesn't break character but is not very effective because I won't respec for PvP. So I started a new character to be a shadow build of my main. My main is a Nord nightblade, but for this new one I went route 1 and chose a Khajiit. My main has maxed out crafting, so I can keep supplied that way and focus on the action skills. As well as PvP and stealing this means I can do the Thieves Guild and Dark Brotherhood, but aside from those I won't take him into any content my main hasn't explored slowly first. So then I can refocus the Nord to where he should be, and I might even train up sword and shield or something to help with that.