I have often said that most greens do only one thing well - accept a fade, draw, high shot, low run in, etc. As Tim Nugent notes, its often difficult to design a green, esp. with a controlled starting point on a par 3 for widely varying tee sets. For dual tee par 3's and dual fw long holes, I think the best greens for those are actually multiple greens within a green, like KBM's neat example or Strantz huge greens. These can be designed for multiple shot types. Of course, on par 3 holes, the tee settings might have to be coordinated with pin settings.
Its also difficult to make bunkers work and look good from multiple angles. Any portion of a bunker can only slope up one direction, and looking at it from one angle gives best visibility. It might be semi or fully blind from a wildly divergent angle. Like greens, it often takes a multiple or multi part bunker sloping different ways to make a hole equally attractive from two angles.
No one has mentioned the supers view of this. While he/she may be mowing slightly more tee, that would certainly be acceptable on a par 3. And, for any hole with tees on either side of the cart path, alternating traffic gives the walk up banks an every other day rest, which helps their care. Downside is a visible cart path, so it should be reserved for ultra high play courses.