Sentou Yousei Yukikaze OVA
The story starts on Earth with the back story that an alien race tried to attack Earth through a pillar know as the Jam that they created in Antarctica, the story quickly switches to the alien planet where the United Earth forces are fighting the Jam. So far the OVA has centered on one SAF pilot Rei Fukai and the A.I. reconnaissance plane that he flies. The first two episodes were very heavy on action with amazing dogfights that reminded me of Top Gun, episode 3 centered more on the mystery of the aliens that no man has ever seen.
If you like military stories, aerial combat and great animation you'll probably love this anime. You can rent episodes 1-3 from Netflix or you local video store.
After the screen caps I have a trailer and one of the dog fight scenes posted on Youtube.