[Biggirl]

There is a Ukranian Rite Catholic parish in a town which is next door to my home town. This is right, as long as the rite is in union with the Pope.

[AnAmericanMother]

This is correct -- all the rites listed in the dictionary entry are in fact in union with Rome.

There are twenty-something small Rites that are in union with Rome and acknowledge the supremacy of the Pope. And of course with the new Anglican Constitution there are going to be twenty-something PLUS ONE. . . . which makes this former Episcopalian VERY happy!