Pasted

Cursor movement
h       move left
j       move down
k       move up
l       move right
w       jump by start of words (punctuation considered words)
W       jump by words (spaces separate words)
e       jump to end of words (punctuation considered words)
E       jump to end of words (no punctuation)
b       jump backward by words (punctuation considered words)
B       jump backward by words (no punctuation)
0       (zero) start of line
^       first non-blank character of line
$       end of line
G       Go To command (prefix with number
        Note:   Prefix a cursor movement command with a number to repeat it. For example, 4j moves down 4 lines.
 
Insert Mode Inserting/Appending text
i       start insert mode at cursor
I       insert at the beginning of the line
a       append after the cursor
A       append at the end of the line
o       open (append) blank line below current line (no need to press return)
O       open blank line above current line
ea      append at end of word
Esc     exit insert mode
 
Editing
r       replace a single character (does not use insert mode)
J       join line below to the current one
cc      change (replace) an entire line
cw      change (replace) to the end of word
c$      change (replace) to the end of line
s       delete character at cursor and subsitute text
S       delete line at cursor and substitute text (same as cc)
xp      transpose two letters (delete and paste, technically)
u       undo
.       repeat last command
Marking text (visual mode)
v       start visual mode, mark lines, then do command (such as y-yank)
V       start Linewise visual mode
o       move to other end of marked area
Ctrl+v  start visual block mode
O       move to Other corner of block
aw      mark a word
ab      a () block (with braces)
aB      a {} block (with brackets)
ib      inner () block
iB      inner {} block
Esc     exit visual mode
 
Visual commands
>       shift right
<       shift left
y       yank (copy) marked text
d       delete marked text
~       switch case
 
Cut and Paste
yy      yank (copy) a line
2yy     yank 2 lines
yw      yank word
y$      yank to end of line
p       put (paste) the clipboard after cursor
P       put (paste) before cursor
dd      delete (cut) a line
dw      delete (cut) the current word
x       delete (cut) current character
 
Exiting
:w      write (save) the file, but don't exit
:wq     write (save) and quit
:q      quit (fails if anything has changed)
:q!     quit and throw away changes
 
Search/Replace
/pattern    search for pattern
?pattern    search backward for pattern
n       repeat search in same direction
N       repeat search in opposite direction
:%s/old/new/g   replace all old with new throughout file
:%s/old/new/gc  replace all old with new throughout file with confirmations
 
Working with multiple files
:e filename Edit a file in a new buffer
:bnext      go to next buffer
(or :bn)
:bprev      go to previous buffer
(of :bp)
:bd         delete a buffer (close a file)
:sp filename    Open a file in a new buffer and split window
ctrl+ws     Split windows
ctrl+ww     switch between windows
ctrl+wq     Quit a window
ctrl+wv     Split windows vertically