Loosely ordered with the commands I use most towards the top. Sublime also offer full documentation.
Editing
Ctrl+C
copy current line (if no selection)
Ctrl+X
cut current line (if no selection)
Ctrl+⇧+K
delete line
Ctrl+↩
insert line after
Ctrl+⇧+↩
insert line before
Ctrl+⇧+↑
move line (or selection) up
Ctrl+L
select line (repeat to select next lines)
Ctrl+D
select word (repeat select others occurrences in context for multiple editing)
Ctrl+M
jump to closing bracket for current code, repeat to jump to opening bracket
Ctrl+⇧+M
select all contents of the current brackets (curly brackets, square brackets, parentheses)
Ctrl+KK
delete from cursor to end of line
Ctrl+K+⌫
delete from cursor to start of line
Ctrl+]
indent current line(s)
Ctrl+[
un-indent current line(s)
Ctrl+⇧+D
duplicate line(s)
Ctrl+J
join line below to the end of the current line
Ctrl+ /
comment/un-comment current line
Ctrl+⇧+/
block comment current selection
Ctrl+Y
redo, or repeat last keyboard shortcut command
Ctrl+⇧+V
paste and indent correctly
Ctrl+Space
select next auto-complete suggestion
Ctrl+U
soft undo (somehow undoes your movements; it jumps to your last change before undoing it when you repeat this command)
Navigation/Goto Anywhere
Ctrl+P
quick-open files by name in your project (doesn’t seem to need an actual project set up, it just searches in the directories around the currently-opened file
Ctrl+R
goto symbol (functions and classes) in the file. Same as Ctrl+P, then type @
Ctrl+;
goto word in current file. Same as Ctrl+P, then type #
Ctrl+G
goto line in current file. Same as Ctrl+P, then type :
General
Ctrl+⇧+P
command prompt
Ctrl+KB
toggle side bar
Find/Replace
Ctrl+F
find
Ctrl+H
replace
Ctrl+⇧+F
find in files
Tabs
Ctrl+⇧+t
open last closed tab (just like in your browser)
Ctrl+PgDn
cycle down through open tabs, cycle up with Ctrl+PgUp
Ctrl+⇆
cycle through last tabs (repeat to go back further in history)