So it's Fate Stay Night and Tsukihime. I feel like there is one more Type-Moon franchise in that video. I could be wrong since I don't know Tsukihime well.
I noticed a pairing theme for Fate Stay Night: Caster and Soichirou Kuzuki, Rin Tohsaka and Archer, Shirou and Saber, Gilgamesh and Shinji (weird), and Sakura and Rider.
The combination of hard-to-remember show titles and bewildering amount of spinoffs/alternate continuities has made me fairly determined to avoid this franchise entirely, much like the whole .hack mess. I'll admit to having enjoyed the Kara no Kyokai movies, but even with them I have to go googling with vague descriptions whenever I want to see if a new one's come out, since I can never remember the name.