>>158501>exact same storyNope. Initially the same but they diverge half way through. I understand not wanting to watch it initially afterwards but they have different plots and themes.
Lain is good but it doesn't seem like you would enjoy it right now. It's a mindfuck and quite an artsy show, it's probably better for you to watch when you've got some anime under your belt.
I would also rewatch Darker than Black and NGE. Both are considered head and toes above shows like Elfen Lied and Attack on Titan, and if you're looking for a strong plot and twists then both have that.
I'm not sure what you mean with 'one night stand anime' as well, considering NGE is 26 episodes and 1 movie and Darker than Black is 25 episodes, a 4 episode OVA then 12 episodes. Most shows don't run longer than that.
I guess from what you've said two shows you might like are Steins;Gate and Trigun
>Steins;GateGroup of friends based around a failed research lab accidentally discover time travel.
>TrigunInsurance employees are sent to warn people away from the most dangerous outlaw in the wasteland, apparently capable of destroying cities.