How do I avoid dozing off when she wants to watch anime together?

How do I avoid dozing off when she wants to watch anime together?
I can more or less keep attention when she shows me the videos about insects or plays videogames, but when she insists on watching anime I tend to almost fall asleep. The most boring thing ever, but I want to try to at least keep some attentiveness.
Updates:
1 mo
For those who asked, the anime in question is Tokyo Ghoul, apparently a "classic".
The art is good but I really can't follow the story, plus it's full of violent scenes and you know what I think of violent shows...
How do I avoid dozing off when she wants to watch anime together?
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