Often, one should be pretty judicious when changing caps. They definitely add a "flavor" to the sound, and the direction they take the sound can be the opposite of what is desired. One should begin with the baseline, assess what changes are desired, and move on from there.
I have found a lot of the more upscale MIT cap variants, while great in many other instances, can often sterilize the sound of a loudspeaker, actually making things worse than the starting point. As you get into the polystyrene and teflon caps in general, this becomes more of a danger. Detail, clarity, and low noise, yes. Musicality, many times, not in my opinion.
The best everyday caps are Solen, SCR/Axon, and the NorthCreeks Jeffreybehr recommended. All are very evenhanded, offer a nice blend of punch and detail, and never sound harsh. When you get into smaller values (less than 15 uF), I like AuriCaps which are smooth and musical, and even better, the TRT-DynamiCaps, which also add spectacular weight into the mix.
Paper in oil caps offer a smoothness than can soften a tube amp's shimmer gone too far towards being like a spotlight in many a system.
I have never tried V Caps or Mundorf, though a lot of people are high on the Mundorfs.