A full list for convenience:
Sewer is in the town, down the road between the potion shop and blacksmith.
Slime/Lich cave is out of the town and to the left.
Facade is out of town far to the right, still townside of the wall the docks are at.
Ruins are past the wall and following to the right, then turning left at the lake and skirting the wooded areas.
Gator is past the wall and slightly left over the bridge before a sharp right turn and down the crevasse.