I know that fish is Halal for Muslims. Please tell me if shrimp are also Halal.

Allaah says (interpretation of the meaning): “Lawful to you is (the pursuit of) water-game and its use for food – for the benefit of yourselves and those who travel…” [al-Maa’idah 5:96].

Ibn ‘Abbaas said: “ Sayduhu (lit. hunting, pursuit) refers to whatever is taken from it alive, and ta’aamuhu (lit. its food) means whatever is taken dead.”

There are a few things – certain types of water animals – which some scholars exclude from the permission outlined above. And shrimp is not on that list, so I belief it is permitted.

From seafood, only fish is made Halal for us. Rasulullah (Sallallaahu Alayhi Wasallam) said, 'Two categories are made Halal for us; Fish and locust.' (Mishkaat vol.2 pg.361). Fish is classified as a Vertebra. Shrimps are not vertebra, hence, not permissible.

According to the three Madhaahib, viz. Shaaf'ee, Maaliki and Hanbaliy,
Shrimp is permissible, irrespective of it being fish or not. However,
according to the Hanafi Madhab, shrimp is not permissible as it is not fish.

So even the experts are divided on the matter...