The Episcopalians, that goofy counterfeit Catholic church run by Masons.
Unlike, I suspect, most Anglicans today, I'm more or less at peace with the fact that historically we owe our distinctive existence to King Henry VIII.Right; we disagree but I'll say it anyway. Henry didn't want to change the church other than getting an annulment he didn't deserve, and to the Anglicans' credit, for centuries their teaching on marriage was the same as ours, which is why as recently as 1936 a King had to abdicate. But with all due respect, Henry didn't force England into schism, and his churchmen later didn't literally very violently force heresy on England, so you could have nice music on Sunday mornings. If you really believe Cranmer's fanciful idea of the early Christians is true, then Anglicanism's for you; otherwise you're kidding yourself.
But as Thomas Day wrote, Episcopalians don't have American Catholics' pathological hatred of high-church liturgy. They're at least as liberal as the National "Catholic" Reporter but a good number of them worship like I do.