In theory, Methodist theology should not be all that different from Catholic theology, since the roots of Methodism come from John Wesley and the Anglican Church–which split off from Rome over political rather than religious issues. (That’s the whole Henry the Eighth thing–he wanted a divorce, the Pope wouldn’t grant it, he split the Church of England off from Rome.) John Wesley didn’t start out to creat a new church, he started out studying the Bible in a methodical way (hence Methodist), and preaching to the poor coal miners–a group largely ignored by the Anglicans in that time frame. The poor coal miners demanded Communion, so Wesley ended up ordaining ministers–wishing all the while that he could stay in the Anglican fold. But in the end, it didn’t work.
In practice, a significant percentage of Methodists today are ex-Catholics. And my grasp of theology is weak enough not to be able to tell you what the theoretical issues between Methodists, Anglicans and Catholics are.
But in practice, Methodists permit women to be ordained, and permit them to fill the higher ranks of the church heirarchy as well. Methodists serve Communion “at an open table, so that all who wish to recieve of its blessing, whether members of this church, any church or no church are welcome”. Methodists also tend to be more flexible about whether the people getting married or the members of their wedding party share the church’s beliefs than say the Catholics are.
And there’s the food thing, although as someone who has almost always attended United Methodist churches, (Methodists picked up the United in the Sixties, I think, from a join with the Evangelical United Brethren Church), the way Methodists treat food strikes me as normal, and I don’t know how other churches do it.
Oh, and music. I have tended to attend Methodist churches with good organists, good choirs, good music in general–often including bell choirs. I have the impression that good music is common to Methodist churches, though it’s probably not universal. And no, belonging to a church which has good music doesn’t mean the congregation sings along loudly early on Sunday morning.