Los Angeles offers a vibrant art scene and several museums near the E Line of the Metro, which is great for a museum enthusiast who values aesthetics and innovation. Here are some notable museums along the E Line that you might consider visiting:

1. The Broad – Located near the 7th St/Metro Center station in Downtown LA, The Broad is a contemporary art museum with a dynamic collection of modern masterpieces. It’s just a short walk from the Metro station and offers free admission, although it’s wise to book tickets in advance.
2. Los Angeles County Museum of Art (LACMA) – You can get off at the La Cienega/Jefferson station and take a short bus ride to LACMA, the largest art museum in the western United States. Its exhibitions span from classical to contemporary across a variety of mediums.
3. Craft Contemporary – Near the Wilshire/Fairfax station, Craft Contemporary offers a unique look at handmade art and design, showcasing innovative craft techniques and artist-driven exhibitions.
4. Hammer Museum – This museum is a bit farther from the Metro stations but can be reached by a bus ride from the Expo Line’s endpoint at Santa Monica. The Hammer Museum focuses on contemporary art and offers free admission.
5. Museum of Contemporary Art (MOCA) – Near the Pershing Square station, MOCA is dedicated to collecting and exhibiting contemporary art. It features an expansive collection of post-1940 artwork.
6. The Getty Center – Although a bit further from direct Metro Line E access, you can transfer to the 734 Metro bus line from the Expo Line to reach this iconic museum. The Getty Center presents an impressive collection of Western art from the Middle Ages to the present, set against a backdrop of dramatic architecture and serene gardens.

Exploring these museums provides not only a visual feast but also a chance to dive deeper into the themes of innovation, philosophy, and aesthetics that you appreciate.