MonsterShop, 'surgical stainless' is a sales term; it has no metallurgical or medical definition. Like asking what engine is best w/o knowing the vehicle (Corvette, Prius, 18-wheeler) or whether acceleration or MPG is more important.
Some SS that I've seen for medical applications include electropolished 316L and Custom 465®. The former has better corrosion resistance & polishes well; the latter is stronger and harder. Also, lots of 'surgical grade' 304 is polished & buffed for automotive aftermarket exhaust systems.
The closest thing to an 'official' surgical stainless is ASTM F138, 'Standard Specification for Wrought 18 Chromium-14 Nickel-2.5 Molybdenum Stainless Steel Bar and Wire for Surgical Implants (UNS S31673).' I don't have the spec., but it seems to be a high purity, vacuum remelted (VM) version of 316L.
So, like earlier responders, I'd say more application information is necessary.