great
general, universal, wide, widespread
popular, public
critical
Her latest novel has won great critical acclaim.

international, national, worldwide

deserve, earn (sb), gain (sb), garner (esp. AmE), meet with, receive, win
His discoveries earned him wide acclaim.

to … acclaim
The play opened last week to universal acclaim.

acclaim for
She received international acclaim for her performance.

acclaim from
acclaim from the critics

be critically acclaimed, be highly acclaimed, be internationally acclaimed, be widely acclaimed
This book has been widely acclaimed as a modern classic.

Acclaim is used with these nouns as the object:
work