be, feel, look, seem
get
Cars are getting better all the time.

make sth
We must make our inner cities better to live and work in.

consider sth, deem sth, judge sth, think sth
I thought it better to tackle him outside of business hours.

considerably, even, far, infinitely, a lot, markedly, much, significantly, still, substantially, vastly
His latest book is very much better than the one before.

a good deal, a great deal
somewhat
ten times, a thousand times, etc.
a little, slightly, etc.
marginally
arguably
inherently

no better
The new situation is no better than the old.

nothing better than
There's nothing better than a nice juicy peach!

be, feel, look, seem
get
I hope you get better soon.

get sb, make sb
The doctor will soon make you better.

kiss sth
Did you hurt yourself? Come here and let me kiss it better.

a lot, much
a good deal, a great deal
a little, slightly, etc.

Better is used with these nouns:
appreciation, arrangement, circumstance, cooperation, coordination, course, enforcement, fate, future, luck, self, understanding