[Ghostcat]

Unwritten Legends fills some of your criteria.

Combat is extremely manual. You have to enter in every attack, and can choose what limbs to target for each blow.

PK is extremely discouraged and rare. Mostly through RP rather than hardcode. For example: kill someone in the King's territory, and you're likely to get charged with murder.

RP is enforced, and a lot of fun.

There's a lot of variety in the professions, and you can innate unusual skills. For your thieving priest example, you could pick the cleric class and innate the normally poor larceny skill to make it decent. In fact, you could pick the Onu spell circle and be a generally bad person.

There is no introduction system, but the playerbase is small enough that you can choose to only use a pseodonym. There is one character that's been doing this for a while, and people don't slip up on it.

Ah, there's only two major cities. Of course, major means huge. There's some smaller places around, but players tend to congregate in only one city. is the map of the main city.

Chance is in too, like most muds. The only place you might find a lack of chance based mechanics is with the less 'gamey' MOO or MUSH games.

If you still want to check it out, the extremely comprehensive website is at unwritten.net

EDIT: Oh, and the only perks you can pay real money for are simple things that don't really grant any advantages. Description changes of items and such.