I passed through the village of Stykkisholmur a couple of times once when I was returning from the western fjords and later on for the ferry crossing.
Stykkisholmur was a pleasant stop, but I preferred Grundfjordur, which is one of my favourite natural sites on the Snaefellsnes Peninsula and home to the famous cone-shaped Kirkjufell mountain.
You'll find a little harbour full of colourful boats, several pretty houses and a church in the centre of town.
Due to a burgeoning tourist industry, it seems that the town has been developed thanks to two museums. One focuses on volcanoes and the other is a 'library of water', but I haven't been back in a while and the museums weren't there when I last visited.
I paid a visit to the Shark Museum which is close to the town. It's an unusual place; it recounts the history of fermented shark meat and you can sample dishes whilst you're there.