The 101 district of Reykjavik is famous for being trendy. It is, admittedly, a great place to stare at the architecture that replaces a view, in generic spaces full of cars, dumpsters and starlings, all most familiar and comforting…
…but you could go to Frambuðír and have a view deep into the Atlantic and Iceland’s heart.
Easy to get to. Just fight your way out of the city, north on Highway 1, turn left at Borgarnes, and before dinner time, with the Snaefell glacier looming over you, turn left to the little church at Buðir. Park, and walk west on the path closest to the sea. Within an hour, you will be staring out of this old farmhouse. Because you won’t want to leave, there is, conveniently, a hotel right beside the church. You can shelter there.
When you come back to Reykjavik, if you come back, you might see it more directly.
Just saying.