Eastern Catholics(Byzantine, Maronite, etc)[Fun Fact: While in Communion with Rome they are more like the Orthodox without using the original Orthodox Calendar.], Orthodox Christianity [As pertains to the last fun fact, they use the Calendar from the time of Jesus which is why their Christmas and Easter are different times of the year.], Lutherans, Anglicans, and some Methodists receive both forms each weekend, some Methodists only once a month and it is open to all, called open table communion. Other Protestant branches like Baptists and Reformed Presbyterians will take it a few times a year, Southern Baptists usually quarterly but when I was a Baptist they didn't call it communion but "The Lords Supper."

Take this, all of you, and eat of it: for this is my body which will be given up for you. Take this, all of you, and drink from it: for this is the chalice of my blood, the blood of the new and eternal covenant. which will be poured out for you and for many for the forgiveness of sins . Do this in memory of me.

The Romans at some point decided only the priests would receive "full" communion except on rare occasions. I was looking into this and found some Catholic churches still follow both forms, but most only bread and others will do both for Holy Days such as Easter and Christmas. It's up to each Parish. I mean it's kind of hard to ignore at each service they literally say take this all of you and drink from it then don't offer it to all.

EDIT: As pertains to Gluten, most of the Protestant churches do offer the gluten-free host. Although the Church of Christ and Methodist Churches I have been to in my life use an honest to god home baked bread loaf instead of the unleavened kind used most places. I don't know you can make gluten free home bread.