From DS9 we know Galaxy, Defiant, Excelsior and Miranda class ships were used in Dominion campaigns.
We also know Nebulas, Steamruuuners, Sabres, Akiras
saw combat. The Curry/Raging Queen
-type also saw action.
type saw at least static patrol duties in reasonably secure areas and the Intrepid
was at least used for diplomatic transportation.
From VOY we know Akira, and Prometheus class ships were used.
Someone has pointed out already that we saw the prototype was active, but don't know if it left testing before the war ended.