Generally, the communion song is a hymn sung by the congregation.  The songs listed here are songs that have a short refrain, making it easier to sing without carrying a book up to receive the Eucharist.  

Blest Are They
Gift of Finest Wheat
One Bread, One Body
Taste and See (Moore)
Taste and See (Hurd)
We Are Many Parts
We Remember
We Have Been Told