Different mics bring out different things, whether expensive or cheap. The things that cheap mics tend to emphasize are often harsh brittleness in the highs (partially caused by poor mic circuitry, partially caused by the diaphragm, partially caused by the source), which sounds bad.
More expensive mics tend to not have the harshness problems. Many still emphasize the highs. You'll find that this works well on some sources, splits your eardrums on others, but at least it sounds cleanly bright instead of harshly bright.
The key in choosing a mic is figuring out what you want to emphasize, what you want to mask, and picking a mic that does both in the right amounts. That, in turn, depends highly on the source.
For my voice (high tenor), I like something nearly flat and accurate, with a little extra boost down low to deemphasize overtones, making my voice meatier. For a baritone or bass voice, I'd probably want something with more of a presence peak like a Hamburg. For an alto, presence peak at a higher frequency like a Vienna. For a soprano, probably flat again, but having not worked with many sopranos, I'm not sure about that.
For brass, I like a ribbon because it tames the overtones again. For acoustic guitar, flat or a little warmth, depending on the guitar. For piano, flat. For overheads, a little warmth, a little high end roll-off. And so on.
What mic was this recorded with? Macbook mic? Seriously? Wow. I've gotta drop those guys a note and give them some kudos. That's a lot cleaner than I would have expected.
Okay. So you're obviously getting a lot of reflection in the recording off of walls and stuff, but I'm thinking your voice could use a little bit of sparkle on the high end and a little extra warmth on the lower mids, and a little less in between, but I'm listening through Macbook speakers, so take that with a grain of salt.
Listening to the clip, I'm guessing you're somewhere between a high baritone and a medium (fairly full-voiced) tenor. It's hard to guess what mic would work best for that voice, but this nagging voice in my head says that assuming the Macbook mic is fairly flat, I'd start with a brighter mic than what I normally use---maybe a CAD M9 (which works for me, but is on the bright side) or one of the group buy 6802T mics or maybe an ADK Hamburg.
If you're looking for something cheap that takes EQ well, you might also consider an Apex 210 or Nady RSM-2. It will sound dull on your voice as shipped, but you can EQ the heck out it of without it getting harsh. I just got a good laugh by reading the Zzounds reviews of the RSM-2. Despite not giving names, I can tell that the first one was written by Michael Joly, and I wrote the other one.... Heh. I pretty much agree with everything Michael said, though I don't find the headbasket resonance to be all that problematic except when miking trumpet. It sounds harsh to me on that. I like it on voice and trombone, though.