I want to put in a vote for The Irresponsible Captain Tylor. I'm not a big anime fan but they showed this at my college's anime club and I thought it was great. Anyone heard of it? Eh? Eh?
For some reason, your mention of irresponsible captain tylor has given me the urge to watch Nadesico again. That anime was hilarious.
I have never heard of it! But I'm always looking for new stuff to watch. I will have to hunt it down. Thanks!
Both Tylor and Nadesico have the same basic premise. In both TV shows:
(1) Earth is at war with a mysterious enemy, and a powerful ship is dispatched to take on the bad guys.
(2) The ship has a bubble-headed captain, a motley assortment of losers, and bridge bunnies.
(3) For political reasons, the ship's crew becomes the enemy of the Earthbound political leaders.
(4) The "enemy," once the Earth crew meets them face to face, are really not too different from us, and apparently seek peace. But political factions on the other side may destroy the efforts of the peacebuilders.
Irresponsible Captain Tylor came first, but
Martian Successor Nadesico takes the same basic premise and goes off on its own wild tangent. Tylor is more raunchy, and Nadesico is more wacky, but I recommend both.
What Tylor has going for it:
1) Tylor himself. His irrepressible optimism and luck keeps him winning every battle despite his ineptitude, and his ongoing battle of wits with his spit-and-polish first officer is one of the best running gags in the series.
2) The sexy-cute 15-year-old empress of the aliens, and especially the scenes that she and Tylor share together.
3) Dom, the bishonen enemy captain.
4) Seeing how Tylor grows when the situation turns serious, and he loses people he cares about.
5) Lots of OAV sequels.
What Nadesico has going for it:
1) Gekiganger. One of the running gags in the show is that most of the characters are anime fans. They all love an old-school robot anime called Gekiganger (from what we see of it, it's sort of a cross between Gatchaman and Mazinger) and every time they go into battle, they shout out Gekiganger catchphrases like "Gekigan Beam!"
2) The sheer number of running gags in the series. Ruri-Ruri will always interrupt the adult conversations with a "Baka!" and Inez always seems to appear out of nowhere whenever it's time to explain something.
3) The rare serious moments in the show ground it in reality and real emotions. When I watched one episode with a ladyfriend who was not an anime fan, she was surprised by a little speech Megumi made. Akito says it's his responsibility to go off and fight, and she asks, "What about your responsibility to me?" When that scene came up, my ladyfriend said, "That was almost profound."
4) Seeing a grown-up Ruri-Ruri and a lethal Akito in the Nadesico movie.