The best replacement for moma is met.

The best alternatives to moma are rated as following:
★★★★★  met
★★★  guggenheim
★★★  metropolitan museum of art
★★  tate modern
★★  whitney
★★  metropolitan museum art
★  metropolitan museum
★  museum of natural history
★  moca
★  momma
★  metropolitan
★  nasa
  met better

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Speaking about moma, one probably shouldn't forget about boundary.

Other search terms related to moma and their ratings are:
★★★★★ boundary
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moma
met
guggenheim