Clicker training is my favorite! I'm not a big lure-reward trainer because I don't want to have to fade the lure. I prefer to do All or None reward training for basic stuff (Dunbar's term): wait for the dog to initiate the behavior and then mark it. I also do some shaping, but I'm very big on letting the dog figure things out. I want them to sit, and down, and settle on their own without me having to always tell them.
I do use verbal corrections, but tend to shy away from physical corrections-- other than slow, gentle pressure when walking. I finally decided that since traditional leash jerks didn't get me any results and just made me feel bad, I wasn't going to use them. Some people might have success, but I just wind up frustrated and somewhat guilty feeling. If I'm having a particularly tough time getting nice leash manners, I'll do the Crazy Lady routine (i.e. 180 degree turns without any warning). That's been effective for me in most cases, but not preferred since it's so much back and forth.
I also do a lot of physical blocking and asking for space.