Weiss Schwarz is this nice little
waifu card game. Archetypes include Persona 5, Kill la Kill, Haruhi, Toaru, SAO, Madoka, and plenty more. If that didn't win you over, I don't know how to sell this game to you.
As for how to play, uh... figure out for yourself, iunno.
I guess this helped me get it - https://www.youtube.com/watch?v=jAAZf0rcysU along with some match videos? Its gameplay is actually pretty simple and I recommend this video because it helped me understand a fair bit about the game, but if you have any questions, try asking me or RD.
Here's an explanation by some guy - http://animeyume.com/blog/2013/09/18/a-concise-guide-to-weiss-schwarz/
Here's how to play in 2 pages with pretty pictures - https://en.ws-tcg.com/images/WSEN_MM_W17_BP_RULES.pdf
More rules without pretty pictures but it's probably for specific rulings and questions - https://en.ws-tcg.com/wp/wp-content/uploads/WS_Comprehensive_Rules_v1.64.pdf
This is the website we'll be using:
http://www.tradecardsonline.com/ (If this link doesn't work for some reason, Google the site and get it from there)
There's no actually good Weiss Schwarz simulator I think, so we'll stick with this shoddy website that uses the same engine for about a hundred other card games. It's good enough to actually run games so it's fine.
Anyway, it's super fun and I'm going to force it to be WDA's next fad.
Here's a list of available archetypes: https://littleakiba.com/tcg/weiss-schwarz/