Yeah, definitely the DC new 52. You can start with Batman, which is fantastic.
And there are many other titles that tie in to that such as Nightwing, Batgirl, and others which also are fairly well regarded. The DC world rebooted in 2011, so its a really good time for new readers to hop on board, and you can do so with pretty much any of titles. I personally recommend Wonder Woman, and Aquaman, besides Batman, because both of those are very good.
There is also the new Marvel Now which is even more recent, although that wasn't a reboot, so it's a bit harder to get into than the DC stuff. But a lot of its still very good and fairly good for new readers too.