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

international, national, worldwide

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

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

~ for
She received international acclaim for her interpretation of Chopin.

~ from
acclaim from the critics

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