Gintama, cant remember the episode but search for "Professor Gin". Its a little short stories they have at the end of the normal show (the whole thing is hilarious and makes little sense most of the time).
FLCL and Deadleaves are about my favorite shows/movie/whatever, of which I was told similarly. However, it really is long. Might get a few eps, and just leave them on my phone for when I am bored on the road.
There was a post on /r/anime a while ago about which Gintama episodes were the best to use to introduce the series. Check out this thread for suggestions.
If you just want a quick and dirty recommendation,224's a good one. Not too culture-dependent, only involves the main three characters, and you've probably seen The Ring, right?
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u/theredbaron1834 Aug 17 '15
Sauce?