Enterprise-E duties during the war:
Ferry diplomats from location to location
Check up on colonies
Archaeological expeditions
Induct useless races into the Federation
Patrol the Neutral Zone, in case the Romulans decide to take advantage of the situation
Starbase 126 to pick up medical supplies
Bring Geordi to a cybernetics symposium on Risa
Map a star cluster
Put out one more diplomatic brushfire
Stage limp-noodle "insurrection" when Starfleet decides to relocate 600 unlikable hippies, using space bazooka that shoots pink bolts
Bring Picard somewhere so he can start to use his 300 days of shore leave
Rendezvous with the USS Ennui to transfer cargo and invite command crew over for brunch
Establish Data's weekly poetry night as a thing, accompanied by violin playing
Use the holodeck excessively in lieu of having actual adventures
Did any of you even watch the movies and/or series?
Explains why we never heard anything about the Cardassians during the first three seasons of TNG. Even though The War ended a year before "The Wounded".