There's a few, really.
OneEyedDoe's suits are exquisite, but she isn't taking normal commissions. I think they're auctioned off and she doesn't offer custom fullbody suits either. (She's also really expensive, but worth the price if you have the dough I suppose.)
DexterousZombie has really nice fursuit heads. She also doesn't offer fullbodies, but her prices are a lot more affordable for a similar style to Doe's. Unfortunately, her comms are closed until further notice.
FrosstFursuits makes really aesthetically pleasing suits, but I've heard that they do fall apart quite quickly. She's also had some controversy surrounding her which is really sort of off-putting for me, but if I were going by looks only, then she'd definitely be up there.
MadeFurYou is an extremely popular choice and for good reason. They're supposedly extremely fast and professional and there's been countless good reviews. They're only a bit lower than my first three because the style isn't as pleasing to me.
OneFurAll is another extremely popular choice, but the wait times are widely known as actual insanity. His recent suits have looked amazing though.
Last one, I promise. WaggeryCos isn't as widely known (they've only been around for 3 years), but Hero, their newest fursuit, is an actual dreamboat. They have a dedicated space for fursuit-making. They 3D model the head and add fur on the model ahead of time so you know exactly what it looks like. There's no same-face because all their heads are made completely unique. No DTD's necessary. In terms of being a business, Waggery trumps most if not all makers.
This got way too long. I just really, really like fursuits. (I keep editing too!)
NO I HAVE TO ADD ONE MORE. Beast Fantasia has INSANE semi-realistic/realistic fursuits. No idea how I forgot them. They're based in Taiwan and the price is very reasonable. Their work looks absolutely stunning. They can do machine-like parts, RGB color changing eyes controlled by a smartphone and they can hand-dye their fur to match your ref completely. It. Just. Looks. So. Good. They also work very fast! Excuse me while I go scream about Beast Fantasia and OneEyedDoe to the world.