Thanks for a broad answer, but I should have indicated just how often is regularly?
Catholics do it every time the church doors open, Protestants do it at varying rates.
Jews did it once a year, with prescribed dates and rituals.
It is clear that almost no denomination obeys the Scripture illustration, which is once, each week, on the first day of the week, when the whole assembly gathers, to which all of its constituents are assembled for worship and collection of contributions to the ministry.
There is no worship without (a) sacrifice(s); of which the Remembrance Supper portion (in which we bear his reproach, Heb. 13:13, by showing forth His Death till He come, 1 Cor. 11:26, and identifying with him by figuratively eating/drinking the tokens of His shame) is one, the fruit of our lips giving praise to His Name (Heb. 13:15) is another, the offering of tithes and gifts (which is "communicating", Heb. 13:16b) is yet a third, and lastly the going forth to accomplish good things (Heb. 13:16a) for the coming week which concludes the regular summons to assemble.
The only manifestation I have seen regarding this is evidenced in the meeting of local Christian brethren after the Scriptural pattern of Darbyites, loosely known as "Plymouth brethren."
All Romanists, nearly all Reformants, and most Rebirthers get it wrong, IMHO, and do suffer from it for their lack of discernment (as well as allowing unregenerates and/or unconfessed constituents to partake).