I always use a radically different strategy than others. Once I know my draft position I rank that many of the top players. For instance, if I draft 6th, I rank my top 6 no matter what the position. After that I want to draft to fill the rest of my roster so I figure out in which round I want to draft each position. For example, If I know my top 6 are all RB's, then I may plan on going RB, WR, RB, WR, WR, QB, etc, etc. I usually don't worry about being the guy that takes Jason Witten in round 4. I stick with my plan and it usually works out pretty well. Once you get your starting roster and backups for your key positions (RB, WR, QB) then you can start taking whoever shows up. I'm also one of those guys that only carries 1 kicker and I take him in the very last round.
With that said I carry several lists.
Rank the top players up to my draft position (If you draft 1st that should be simple enough)
Rank the top 40 RB's
Rank the top 60 WR's
Rank all 32 starting QB's
Rank the top 15 TE's
Rank the top 20 Def
I don't bother ranking K's since that's a crapshoot and each year a different one seems to break out from nowhere.
Put this in a 3 ring binder with tabs. Follow your game plan and when going to your next pick just flip to the page for the position you plan on drafting next (remember, you will have a list of the draft order you want by position). You'll also have to be crossing names off (obviously) as the draft progresses but this is actually easier when done this way than with one list. It takes less time to find each player as long as you know what position they play. I don't win every time but I've been quite sucessful this way.
One thing to note is that typically you'll want to have your starting RB's and at least one backup by round 10 since that position seems to get eaten up first in most drafts.