I think I actually like this version better even though I played MBM first, just because it has more graphical and sound details. The background in MBM is exactly the same as Puyo Puyo. However I love the robot music in MBM when it introduces the easy stage robots. Just brilliant.
On a side note. If you haven't played Puyo Puyo Tsuu go download it NOW. The SNES version is the best.