Williamstown Theatre Festival is doing a new production of The Rose Tattoo this summer with Marisa Tomei. Considering several of their recent productions have moved to New York, that might be a possibility. David Cromer tried to get a production of Sweet Bird of Youth off the ground in New York for years, with Nicole Kidman, but nothing came of it. Eventually he staged the play in Chicago with Diane Lane. It was a good production that was Broadway caliber, and there was talk of moving it to New York, but negotiations broke off at some point.
Mr. Roxy, you asked why so many of Williams' plays are rarely revived. The simple reason is that aside from the big three (Menagerie, Streetcar, and Cat), many of them aren't great. Suddenly Last Summer gets done quite a bit, largely because it's short and offers two juicy female roles. Rose Tattoo or Sweet Bird are both good plays, but they really need compelling stars in the leading roles. The rest of the Williams' catalog is very hit or miss.