Why do you go to a museum?
I go there to watch works of art.
I go there to look at works of art.
I go there to see works of art.
I go there to enjoy watching pictures.
I go there to see the works of famous artists.
(Are the answers all grammatical? Would you let me know some more answers?)
I go there to ________________________.
The first answer is not correct, nor is the fourth one -- unless you are referring to films (movies).
If you are referring only to looking at paintings, sculptures, and other artworks usually displayed in museums, the other answers are all correct.
Yes, all of the answers you provided are grammatically correct. Here are some more possible answers:
I go there to learn about history.
I go there to explore different cultures.
I go there to appreciate the beauty of sculpture.
I go there to immerse myself in artistic expression.
I go there to gain inspiration for my own artwork.
I go there to support local artists.
I go there to experience the atmosphere and ambiance of the museum.
I go there to attend special exhibitions and events.
I go there to indulge in my love for photography.
I go there to educate myself about various artistic movements.
I go there to escape from everyday life and be surrounded by creativity.