In Tokyo there is a cafe with capybaras, which is called Cafe Capyba

Rodents in the establishment are more important than customers, so your time there is limited. The cafe may also close if the capybaras get tired or it's time to sleep.

At Cafe Capyba, you can spend 30 minutes with these animals (with an entrance fee of about $10), drink a cup of coffee with them, play with them, pet them, feed them carrots, etc.