Crosswind limit for landing is actually 40 kts on dry and wet runways for both 737-800 and -700s. Crosswind limit for takeoff is 25 on wet runways and 34kts with winglets, 36 without on dry runways. Those are valid for narrow runway operation.
It is actually very nice to see an autoland in a 737 at 25kts crosswind where the autopilot establishes a nice and steady bank into the wind and keeps it right until touchdown.