Cafe Irreal publishes fiction which “rejects the tendency to portray people and places realistically and the need for a full resolution to the story; instead, it shows us a reality constantly being undermined” (from the website). If you plan to submit to this market, it’s absolutely critical that you check out their Theory and Archives pages first.
Payment is 1 cent/word and they are now open to submissions. The deadline for the next issue is January 1.