Collocations for commentary - noun

brief
live
running (= continuous)
She kept up a running commentary on the festivities.

accompanying
radio, television, TV
I was listening to the radio commentary on the game.

audio
colour/color (= giving background information during a sports broadcast)

do, give, keep up, provide
feature, include
listen to
have
The deleted scenes have an optional commentary by the director.

box (BrE)
the reporters in the commentary box

track (= on a DVD)

commentary on
The station provided live commentary on the African Nations Cup.

detailed
critical
political, social
good, incisive, insightful, interesting

provide
The novel provides a powerful social commentary on post-war Mexico.

offer, write

commentary on

be a sad commentary (on sth) (= to reflect badly on sth)
The petty quarrels were a sad commentary on the state of the government.