Since you are new, I should take the time to tell you there is generally no such thing as a universal "best" in the world of enthusiast audio. Only different, with ambiguous degrees of better.
There are things to consider such as how much isolation(noise blockage) matters to you, or build quality, fit and comfort, microphonics(noise caused by chords when walking), etc. "Best" bass is also something very difficult to judge. For some, best bass means the most possible at the highest quality possible. For others it means impact when needed. For yet others, it means detailed texturing in the bass.
I can point you to some good options though.
Fischer DBA-02: Known to be just shy of a "neutral" sound(not leaning too much toward any part of the frequency), incredibly detailed with great instrument separation and whatnot. The bass is said to be well textured, but may be lacking for some, especially if you have a poor source. Price around 150
Radius DDM: Pretty much the antithesis of the DBA, the DDM has humongoliscious bass that is well textured. It's supposed to have a multilayered kind of sound, with softish treble and smooth mids, and of course big bass. However, there have been several complaints about fit, and they don't isolate very well apparently. Nevertheless, there are also many members who get them to fit just fine. Price around 150
HJE900: The only one of these I've actually heard(and own), they are big on bass yet also very detailed. It's an aggressive sound that might be too much for some, but it certainly works for many of us. Only $78 at the moment.
Other things that come to mind around 200 or below are the CK90Pro and Klipsch custom 3.