Basics

Read-Write
:e[dit] [file]	Edit File
:w[rite] [file]	Write File
:w[rite] !sudo tee %	Write File with Root Permission
:sav[eas] {file}	Save File As and Open It
:q	Exit Vim
:q!	Quit Without Saving
:x	Write File Changes and Exit

Miscellaneous
.	Repeat the Last Command

Unix Shell
:!{command}	Execute Command and Return
!!{command}	Execute Command and Insert Output
:sh	Temporary Returns to Unix

Moving in the Buffer

Up-Down
k	Line Up
j	Line Down
gg	Begining of the File
G	End of the File
H	Top of the Screen
M	Middle of the Screen
L	Bottom of the Screen
{	Previous Paragraph
}	Next Paragraph
:[range]	At Line Number

Left-Right
h	Character Left
l	Character Right
b	Begining of the Word
e	End of the Word
0	Begining of the Line
^	First Non-Blank Character of the Line
$	End of the Line
(	Previous Sentence
)	Next Sentence
|[count]	At Columnt Number

Scrolling
CTRL-Y	Line Up
CTRL-E	Line Down
CTRL-U	Half-Page Up
CTRL-D	Half-Page Down
CTRL-B	Page Up
CTRL-F	Page Down

Searching
/{pattern}	Search Forward
?{pattern}	Search Backword
n	Next Occurrence
N	Previous Occurrence
*	Search Forward for Word Under Cursor
#	Serach Backward for Word Under Cursor
%	Matching Parenthesis
gd	Local Definition
gD	Global Definition

Marks
m {a-zA-Z}	Set Mark
'{a-zA-Z}	Jump to Mark
''	Previous Position
:marks	List the Marks

Changing Text

Delete, Insert
["x]dd	Delete Line
{Visual}["x]d	Delete the Highlighted Text
["x]cc	Delete Line and Start Insert
["x]C	Delete to the End on the Line and Start Insert
{Visual}["x]c	Delete the Highlighted Text and Start Insert
:g[lobal]/{patern}/d	Delete Lines Containing Pattern

Copy, Move
:reg[isters]	Contents of Registers (0 - default register, 1-9 - shifting delete register, " - unnamed register)
["x]yy	Yank Lines
{Visual}["x]y	Yank the Highlighted Text
["x]p	Put Text After
["x]P	Put Text Before
["x]gp	Put Text After and Move Cursor
CTRL+R {register}	Put Text Before (Command Mode)

Changes
R	Replace Mode
r{char}	Replace Character
~	Change Case of Character
g~~	Change Case of Line
{Visual}~	Change Case of Highlighted Text
gUU	Make Line Uppercase
{Visual}U	Make Highlighted Text Uppercase
guu	Make Line Lowercase
{Visual}u	Make Highlighted Text Lowercase
gJ	Join Lines
{Visual}J	Join Lines With Spaces
CTRL-A	Increment Number Under Cursor
CTRL-X	Decrement Number Under Cursor

Shifting
<<	Shift Lines Leftwards
{Visual}<	Shift Highlighted Lines Leftwards
>>	Shift Lines Rightwards
{Visual}>	Shift Highlighted Lines Rightwards
==	Auto Indent Lines
{Visual}=	Auto Indent Highlighted Lines
=%	Auto Indent Lines Between Parenthesis

Substitute
:[range]s[ubstitute]/{pattern}/{string}/[flags]	Replace a Match. Flags: c (With Confirmation), g (Replace All), i (Ignore Case). Use % in range for entire file.
:[range]s[ubstitute]	Repeat Last Substitute
:re[tab] [tabstop]	Reformat and Change Tabstop

Formating
:ce[nter] [width]	Center Lines
:ri[ght] [width]	Right-Align Lines
:le[ft] [indent]	Left-Align Lines

Tabs & Windows

Tabs
:tabe[dit] {file}	Creates Tab
gt	Next Tab
gT	Previous Tab
:tabr[ewind]	First Tab
:tabl[ast]	Last Tab
:tabm[ove] [N]	Move Tab
:tab ball	Put All Open Files In Tabs

Windows
:sp[lit] [file]	Split Window Horizontally
:vs[plit] {file}	Split Window Vertically
CTRL-W j	Window Below Current
CTRL-W k	Window Above Current
CTRL-W CTRL-W	Next Window
CTRL-W _	Maximize Window Vertically
CTRL-W |	Maximize Window Horizontally
CTRL-W =	Resize All Windows
[N] CTRL-W +	Add Lines to Window
:hid[e]	Close Window
:on[ly]	Close All But This
:ls	Show All Buffers
:b[uffer] N	Open Window

Insert Mode

Auto-Completion
CTRL-N	Next Keyword
CTRL-P	Previous Keyword

Indent
CTRL-T	Indent Line
CTRL-D	Unindent Line