I am sure this has been posted before but Purple Martins eat large dragonflies, grasshoppers, and butterflies and make those their principle food. Since dragon flies eat mosquitoes the Purple Martins eating of the dragon fly may act to increase mosquito populations.
To the best of my knowledge no observations of martins actively feeding on mosquitoes where and when mosquitoes were seen to occur have been published.
I think bats eat mosquitoes but of course they are not as cute as Martins...and they may eat the dragon flies too. Bat house anyone ?