I've borrowed the term, "The Breaking of the Bread" from N. T. Wrights brilliant book, "Simply Christian."  I use that term because words such as "Communion," "Eucharist," or the "Lord's Supper" all carry with them certain theological understandings. 

I am aware of only one non-denominational church that holds to a sacramental view of the Breaking of the Bread.  For those that worship at non-denominational churches, are there any others out there?  If so, where and what's their name?

Essentially, a sacramental view of the Breaking of the Bread means that Christ meets us at the Table and imparts grace unto those receiving the elements of the Supper in faith.  "Symbolism" is the dominant view of most non-denominational churches, meaning the meal is a symbol only of remembrance of Christ's death on the cross.

Just curious.

Not all evangelicals share this view.

A requisite of salvation?  Where did you get that idea from?  It (a sacarmental view) sets it up as a means of receiving grace.

Read I Corinthians 10: 1-4 and 16&17.  Gordon Fee's Commentary of this Scriptures (and his Commentary on I Corinthians is widely viewed as the most comprehensive and most widely used and accepted Commentary on I Corinthians) argues these passages of Scripture clearly support the sacramental view of the Breaking of the Bread, this despite Fee coming from an Ordinance faith tradition. 

The Campbellite churches are primarily Churches of Christ that take an ordinance position on the Breaking of the Bread.  I am unaware of any Sacramental churches that make the Breaking of the Bread a requisite of salvation.

You are simply describing some of the very radical positions of a few churches of Christ.  But again, no church of Christ holds to a sacramental understanding of the Breaking of the Bread.  In fact, their understanding is perhaps most identical to your own.

Read I Corinthians 10.1-4 and 16&17.  If reading from the NIV, understand that the word "thanksgiving" in verse 17 is translated "blessing" in ALL other translations.

Jesus is the Bread of Life.  Jesus is the Manna from heaven.  The cup is the cup of blessing, containing all of the blessings of the New Covenant.  When we come to the Lord's Table, we receive, by faith, the very Bread of Life and Manna from heaven.  We receive, again by faith, all the very blessings of the New Covenant.  We not only remember what Christ did, but we remember what Christ is presently doing, and at the same time, we receive a foretaste of the heavenly meal that awaits us in the Age to Come.

N. T. Wright puts it this way.  When we come to the Lord's Table, it is like sitting down to a meal with our great-great grand parents, and our great-great grandchildren.  This is a meal where the past and future come together and meet us in the present.  This is the best way I know of in describing the sacramental view of the Breaking of the Bread.