I know of several artists who would pretty much fit this bill, although they've worked in different styles than Parr:
1. Jozef Israëls. A 19th century painter associated with the "Hague School", he was one of the most respected Dutch artists of his time. A large amount of his oeuvre are paintings by the seaside; wives of fishermen waiting for their husbands return, children playing with toy boats -- usually with a string attached so they don't float away, men using nets along the shore for shrimping, women pulling barges, men hauling in anchors from ships, women carrying nets of fish. His paintings show all sorts of seaside paraphernalia, water toys, fishing equipment, baskets, nets, and so on. Other artists from the Hague school either painted seaside scenes or sea scenes, although many just painted ships and not paraphernalia.
2. Henri-Victor Wolvens. A Belgian painter working primarily in the 1930s, in what has been called an "Animist" style, in that it tries to use brush strokes to capture the feeling and essence of things in nature. One of his primary subjects was beach scenes. Often, these are full of life, with colorful umbrellas, balls, folding chairs, toys. Many of these paintings are at Ostend, which had many sea-side resorts, and have the famous colorful "beach cabins" that became popular around that time that you would see lining the beaches. Other animistes, like Louis van Lint, also painted beach scenes at Ostend. Many others in Belgium not associated with that movement, like Frans Smeers, also painted the beach.
3. Alberto Morrocco. A 20th century Scottish artist from Aberdeen, influenced by Cubism, but who worked in a representational style. His best known paintings include views of Florence and colorful Mediterranean beach scenes. His beach scenes show many people in bathing suits, with beach umbrellas and beach towels. A lot of his paintings feature people eating things on the beach, several with watermelons. He has a mural at Liff, which is a depiction of a beach scene; tents, tables, umbrellas, boats parked on the beach.
4. Eugene Boudin. A later 19th century french artist associated with Impressionism who painted a lot of pictures of scenes on the beach, usually social gatherings. They often feature things like beach cabins, parasols, fold-out chairs, and so on. A few of his beach paintings are also of fisherwomen with baskets.
5. William Glackens. An American "Ashcan School" artist, he painted many beach scenes. You'll see beach umbrellas, boats, blankets, bathing suits, and so on.
