Tokyo’s internet and manga cafes are much more than a place to browse the web. As 24-hour spaces to work, play, eat, shower and sleep, they’re a second home to some. But they can also be off-putting to women. Luckily, Tokyo has plenty of women-friendly internet cafes to try. We’ve all been there. It’s 1 a.m. in Shibuya. You’ve been singing the night away at karaoke with your friends and you lost track of time. Now there are no more trains home. What do you do? Where can women go to feel safe in Tokyo at night? You could drop several thousand yen on a taxi back to the suburbs. Or you could head…