Digha has a lot of places to explore around it if you’re up to some driving or traveling around. There is the Marine Station of the Zoological Survey of India, which is interestingly one of the most well-equipped marine aquariums in India. There you will find a host of specimens, especially the local fishes of the Bay of Bengal.
There is also a temple around 8 kilometres from Digha called Chandaneshwar Temple, dedicated to Lord Shiva. You might find it super crowded around New Year’s though (that’s the time for the annual pilgrimage), but it’s a good visit otherwise.
At Amarabati Park you can go for boat rides and ropeway rides for just a nominal fee of 5 bucks.