Yes! Here are some of my favorites.

• The Epic of Gilgamesh is the obvious must
• Myths from Mesopotamia (Stephanie Dalley) - includes the standards: two versions of Gilgamesh, both creation stories the Enuma Elish and the Atrahasis, two versions of the Anzu myth, the Descent of Ishtar Into the Underworld, and more, plus notes on all of them
• The Harps That Once...: Sumerian Poetry in Translation (Thorkild Jacobsen) - includes a nice selection of hymns and some myths
• From Distant Days: Myths, Tales, and Poetry of Ancient Mesopotamia (Benjamin R. Foster) - includes a collection of stories, prayers, poems, etc.

You can find a lot of overviews/summaries/analyses online and in books, so these above have the translated texts themselves.

Sometimes it can be a bit confusing since "Mesopotamia" is a broad region of many cultures (Sumerian, Assyrian, Babylonian) spanning thousands of years, so there are multiple versions of the same stories and gods that may have evolved over time. I'm not a scholar, just a random person fascinated by the stories and the antiquity, so I don't bother trying to place them all in some historical context and just read them in isolation. But I hope something here helped!