My tastes tend toward hard SF, less mysticism. So I don't recommend these to people who like that.
Heroic Age blows most space opera out of the water, live action or not. It's also less silly than Legend of the Galactic Heroes.
Starship Operators: Some of the most technical starship combat ever seen, as the combatants take part under a watchful populace and reality show.
Gundam 00: The best Gundam show
Patlabor: Stick with the 3 movies
Yamato 2199: Retells the original story with added subplots and better animation.
Gargantia on the Verdurous Planet: Stupid title for a great series.
Armored Trooper Votoms: Both old and new version.
Any Ghost in the Shell
Gantz: Kooky and twisted but worth a look
Macross Zero: Top notch animation
Last Exile: beautiful steampunk series
This web streaming channel has some new stuff. Attack on Titan is kind of interesting. Crunchy Roll: