There are plenty of museums and galleries in South London, and you could combine a visit to MOCA with one of the following;
in the former Bankside Power Station, take a No 36 bus from Blackfriars Rd to Rye Lane (Peckham Rye BR Station).
The Dulwich Picture Gallery in Dulwich; take the No 37 bus from Rye Lane to North Dulwich Station or a train form Peckham Rye to North Dulwich.
The Horniman Museum in Forest Hill can be combined with MOCA by taking a No 37 bus and change on the 176 at Lordship Lane).
For more travel info visit Transport for London