i want to go and see lots of hardcore punk gigs and go to cantinas mainly.
For punk stuff you really must go to the "punk market"
El Chopo. It's on (or at least was when I was there) every Saturday morning. There's always bands on, sometimes good, sometimes not so (my band played there). Theres stalls and stalls of bootleg cds where you can pick up a disc with the entire output of every band imaginable. There's specialist stalls - surf, ska, anarcho-punk, oi, etc etc Food, drink, other random happennings. You''l also find out about what gigs are one from the frenzy of flyering there. It was also the scene of the infamous
"emo riots". It's dead easy to get to either on the tube or the metrobus.
Cantinas? The historic centre has plenty of good ones.
This recent BBC article is pretty good. La Faena was one of my faves.
Other things to see in Mexico City...Coyoacan Market on Sat or Sun is okay but a bit hippyish and touristy. The "witches market" was intriguing (I can't remember the name of it right now though), the boat trips on the canalsare a good day out.
The wrestling is worth seeing. it's all a bit trendy now, but if you avoid the Friday night show at the Arena Mexico and go instead to the Sunday afternoon one at the Coliseo its a bit more low-key and traditional.
The mariachi bars on Plaza Garibaldi are fun too, but the area is pretty edgy so be careful.
Even edgier and well worth a visit if you know a local, but probably best avoided otherwise these days is the huge "thieves market" in Tepito.