Budapest offers a diverse array of museums catering to various interests, from history and art to science and culture. Here are some of the best museums in Budapest:

1. Hungarian National Museum (Magyar Nemzeti Múzeum): As previously mentioned, this museum is a must-visit for its comprehensive collection detailing Hungary's history and culture.
2. Museum of Fine Arts (Szépművészeti Múzeum): This renowned art museum houses an impressive collection of European paintings, sculptures, and decorative arts, including works by famous artists like Raphael, Titian, and Rembrandt.
3. Hungarian National Gallery (Magyar Nemzeti Galéria): Located in Buda Castle, this museum showcases Hungarian art from the Middle Ages to the present day. The building itself is a work of art, and the panoramic views of the city from the terrace are stunning.
4. House of Terror Museum (Terror Háza Múzeum): This museum offers a sobering look at the dark periods of Hungarian history, particularly during the fascist and communist regimes. It's a powerful and educational experience.
5. Museum of Applied Arts (Iparművészeti Múzeum): Art Nouveau lovers will appreciate this museum's architecture as much as its collection of decorative arts, including ceramics, textiles, and glass.
6. Ludwig Museum of Contemporary Art (Ludwig Múzeum): For contemporary art enthusiasts, this museum features works by renowned Hungarian and international artists, covering various forms of modern art.
7. The Hungarian Natural History Museum (Magyar Természettudományi Múzeum): Ideal for science buffs, this museum showcases an extensive collection of fossils, minerals, and taxidermied animals, providing insights into Hungary's natural history.
8. Aquincum Museum and Archaeological Park: Explore the remains of the ancient Roman city of Aquincum, complete with artifacts and reconstructed buildings, offering a glimpse into Budapest's Roman past.
9. Kiscelli Museum: Housed in a former monastery, this museum features Hungarian art from the 19th and 20th centuries, including paintings, sculptures, and applied arts.
10. Hospital in the Rock Nuclear Bunker Museum (Sziklakórház Atombunker Múzeum): Located in a naturally occurring cave system beneath Buda Castle, this museum tells the story of Hungary's turbulent history and its role in World War II and the Cold War.
11. The Museum of Ethnography (Néprajzi Múzeum): Delve into Hungary's cultural heritage through its folk art, clothing, and traditions. The museum is currently closed for renovation (as of my last knowledge update), but you can check for updates on its reopening.
12. Zwack Unicum Museum: Learn about the history and production of Hungary's famous herbal liqueur, Unicum, through interactive exhibits and tastings.

These museums offer a diverse range of experiences and insights into Budapest's history, art, culture, and science. Depending on your interests, you can explore the ones that resonate with you the most for an enriching visit to the city. Keep in mind that museum hours and accessibility may vary, so it's a good idea to check their websites or contact them directly for the latest information before planning your visit.