HPMoR is apparently nearing its conclusion, so if you start reading now, it may be finished by the time you catch up (depending on how quickly you consume books).
Assuming you implicitly wanted to add "in roughly the same genre", the books that instantly jump to mind are Rick Riordan's Percy Jackson books. The first one really feels like he asked "How can I copy the Harry Potter formula but make it better?" He clones the trio of heroes, but (for example) doesn't force them to sit around school waiting for a plot to show up, sending them out on a cross-country quest as soon as the world is established. For my money it isn't quite as good as the HP books at their best, but all are significantly better than the early HP books and tighter than the late HP books. He's into a second series of them now, and managing to keep me excited after eight books is no mean feat.
Yeah, there was a lackluster movie adaption of the first book a few years back, and there's a second movie due out next month.
Hmmm... fun adventurous non-fantasy YA, first that comes to mind is Kenneth Oppel's Airborn, etc. Old-fashioned boy's adventure stories set in a steampunk universe.
Thanks, I read one of them and enjoyed it, although it wasn't an instant "get me the next one, too" experience. But I might eventually read the other ones, too.