If museums are on your list, you might want to check out the upcoming exhibitions at Karnataka Chitrakala Parishath in Malleshwaram. If you want to see more of the museums in Bengaluru, you can easily walk to Gandhi Bhavan.
You might want to play some rounds at Bangalore Golf Course, located 1.6 mi (2.5 km) from central Bengaluru. If Bangalore Golf Course doesn't quite scratch your golfing itch, Karnataka Golf Course is also nearby.