Put the chopped peaches, shallots, and jalapeños in the bowl of a food processor. Add the remaining ingredients. Pulse 2-3 times, just enough to get most the pieces small and to well combine the salsa. Do not liquefy it.
Place salsa into a bowl and cover. Let stand for an hour before serving to give the ingredients time to meld.
Serve with chips, fish, pork, or chicken.