Moving word wise,(w,e) is used a lot.
Next occurrence of word under cursor is useful. *,#
Learning effective macros is extremely useful.
di" is one of my favorite commands. Delete everything inside the quotes not including the quotes.
Put inoremap jj <Esc> into your .vimrc so that you can press jj quickly in insert mode instead of Esc.
Remap your arrow keys to nop and get proficient with it; this feels like I am editing super fast. A lot of editor time can be spent with your hands on home row without ever leaving.