personal observations only!!!!!!
I dislike the SM-81, I find it too harsh. For reference, I'm not a huge fan of the AKG C-414 either, and I have one of the older ones, which are supposed to be pretty cool by most accounts.
The thing is, I've only ever owned one microphone for which I never found a good use. I do use the C-414 from time to time. I just used it on an acoustic guitar (small body, Rosewood & Spruce) track where my usual go-to microphones (TLM-193 or Dragonfly) just didn't sound right in the mix.
I have used SM-81s on cymbals and hand percussion in the past, but there are so many other SDCs that I don't own a pair.
My fantasy SDCs would be a pair of KM-84s (not the KM-184s, they do sound different) and a pair of Schoeps CMC6s with at least the hyper-cadriod capsules. No, they don't sound similar, but they both do magical things with acoustic guitars!
So lets hope that puts my personal tastes in perspective...
My go-to SDC for nylon string guitars is a pair of Earthworks SR-77s. I love the detail that they capture.
My go-to SDC for steel string guitars is either an AKG C-451 with the cardiod capsule, or an A-T 4031, but sometimes I'll use one of the SR-77s. I seldom use a pair of SDCs on steel string guitars, preferring instead one SDC and one LDC.
I have one guitar, a 1977 Martin D-18, which is nearly impossible to record. For this one I use a TEAC PE-120 that I modified for phantom power. For whatever reason, this microphone just likes this guitar, or vica-versa. It's an oddball microphone for sure (it was also sold by Nakamichi with a different model number.)
The Shure KSM family is wonderful, and I plan to add a pair of the SDCs to my tool kit one of these days. They are probably about as close as you can get to an all-around microphone. They don't sound like anything really, and if you have to start somewhere I guess that's as good a place as any.
The other microphone I'd consider in that price range is the Michael Joly MJE-384. I've only heard recordings made with them, but I am really impressed. The pair is around $700, while I think a pair of the KSM-137s is about $50 less. The difference being the Shure is pretty darned neutral, while the MJE has character, not unlike my fantasy KM-84. No, it does not sound like a KM-84 sadly<G>!
There is also the KSM-141, which is a multi-pattern SDC, a strange beast indeed. I used a pair of them only once, and I ended up using them as cardiods, but it was fun, and interesting, to be able to change the pattern on the fly. I think they run about $100 more than the 137s, and if you don't have a room that will benefit from an omni pattern then I'd save the money.
Which brings up an important thought - while microphones and preamplifiers are important, unless you are using a hyper-cardiod capsule at a very close distance the space in which you are recording is just as important. So too is the instrument you are recording.
And of course the space is part of the recording... if I had a great sounding space I'd probably never use a directional microphone again (for solo recordings anyway). But like many here, I suspect, my space is far from great, and so I use directional microphones to mitigate the negative aspects.
It is a big, jumbled up mess really, composition, performance, microphone selection AND placement, preamplifier, and converter (these days) area all important, and while I think that order is probably a good one in terms of priorities, the fact is they are so intertwined that you can't really pick one - I guess one could argue that a great recording of a great performance of a so-so composition wouldn't be much, but when it comes down to the composition most of us like what we wrote or we wouldn't be recording it<G>!
Which is a very round-about way of saying two things:
1) you really can't go wrong with the KSM-137, the entire KSM family is pretty darned good!
2) there is so much involved in recording, and especially recording a guitar (can you tell I'm a guitarist?) that getting too hung up on any specific link in the chain could be a distraction.
Hope that helps in some way...