Got out of Shanghai for the first time in 2021 last weekend. Not far though, just to a little island off the coast. You can get there quite conveniently with a combined coach and ferry ticket from Nanpu Bridge tourist coach centre. The ferry actually leaves from another island, Yangshan island, which is home to a huge container port and connected to the mainland by a long sea bridge.
There’s enough small attractions to spend a weekend, including beaches, temples, and a lot of cliffs, which you can see pictures of below. I liked the relaxed style of the little fishing villages.