We went to Hutsuzuki Beach on Fukishima this week. It's a really pretty beach with a large parking lot. Despite the warm weather, there were a bunch of fishermen and women there, but no beach goers.
At the far end of the beach is a staircase that leads to a really nice trail. If you follow that trail you will be rewarded with sweeping views of the island and the near crystal water.
That light house is about 50 meters off the shore, but that didn't stop one man from fishing from there.