Maybe your computer is too slow XD (kidding.. well, for the most part)
I did check out the "recommended requirements" for bsnes and of course they're very high. That's to be expected. I disagree that accuracy is ALWAYS the highest priority. With some emulators you can run almost all games to a degree that appears perfect without achieving very high accuracy (and achieving very high speed). Dynamic recompilers are never completely cycle accurate, but they usually get the job done. You've mentioned Chrono Trigger failing in ZSNES, but I've played it (years ago), and I did find it sufficiently close to the original. If there were slight defects they were so minor that they really didn't bother me, and yes, I played the game to completion on a real SNES (a few times). The user, even "serious user", is NOT going to care about special game hacks being employed if the game works. As an emu programmer I know exactly how you feel about them and I personally all but refuse to use them unless I've identified an issue that's simply unresolveable without taking too much of a performance hit (right now I think I've skirted these, fortunately). But to the user it's not noticeable, so long as the ROM is identified correctly.
I know for a fact that SNES is a very finicky system (like NES), but others, like GBA, are not. For my emulator, my first priority is performance. It's perhaps a special case because the primary target is a fixed platform. My second priority is compatability - how many games does it run sufficiently well. Although similar I consider this subtly different from accuracy, and from the end user's point of view, completely different.
Of course, I respect bsnes's goals and purposes - for one thing, it's much more useful for people developing software that they intend to run on a real SNES (also translation patches and other modifications). This way they have a much better idea of if their code performs well enough and they're less likely to get divergent behavior when they do something bad (less cases of "the emulator lets me do it"). It's also a better emulator for longterm preservation/archival purposes, which is important.
Now, the page says compatability is at 99.25%, of the 300 games tested, not 3000. And while going to the first level might seem sufficient I can tell you from experience that many games can be perfect for a long time then go awry well into them. Maybe less so for this emulator.