My current cheatsheet

Mapping	Summary
d/world	Delete up until the first search match for "world"

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Mapping	Summary
iw, aw	"inner word", "a word" (a word includes the space)
ip, ap	"inner paragraph", "a paragraph" ("a" includes the newline)
i), a)	"inner parenthesis", "a parenthesis" (includes the parens)
i', a'	"inner single quote", "a single quote" (includes the quotes)
gqip	format inner paragraph

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Mapping	Summary
:tabnew	Open a new tab
:tabedit <filename>	Edit the file with the provided name in a new tab
gt	Go to next tab (wraps around to beginning)
gT	Go to previous tab (wraps around to end)
<C-w>T	Break the current window out to a new tab

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Mapping	Summary
d, or x	Delete the visual block selection
c	Change
r	Replace all characters in the block with the next character you type
I	Insert text before the block
A	Insert text after the block