The "Kiss of Charity", "Holy Kiss", or Kiss of Peace is instructed several times in the New Testament, for example:
1 Peter 5:14 (KJV): Greet ye one another with a kiss of charity.
2 Corinthians 13:12 (KJV): Greet one another with an holy kiss.
But as far as I can tell, this is not widely practiced in Protestant denominations. I find some (mostly historical) references to Catholic, Eastern Orthodox, or Anabaptist practice but not much elsewhere.
Is there a basis in Biblical interpretation for Protestant rejection of this instruction as globally applicable? Or is it simply something that fell out of practice due to cultural differences?
at the present day the Pax is only given at High Mass, and is hardly anywhere communicated to the congregation. The celebrant kisses the corporal spread upon the altar (he used formerly in many local rites to kiss the sacred Host Itself) and then, placing his hands upon the arms of the deacon, he presents his left cheek to the deacon's left cheek but without actually touching it. At the same time he pronounces the words Pax tecum (Peace be with thee); to which the deacon replies, Et cum spiritu tuo (And with thy spirit). The deacon then conveys the salute to the sub-deacon, and the subdeacon to the canons or clergy in the stalls.
Global Anabaptist Mennonite Encyclopedia entry:
...the "conservative" conferences such as Old Order Amish Mennonites, Old Order (Wisler) Mennonites, Church of God in Christ, Mennonites (Holdeman), Reformed Mennonites, and Conservative (Amish) Mennonites maintained either an absolute or a greater relative separation from all other groups and influences... As the Christian salutation it was practiced almost universally among all members, lay as well as ministers, except in the Conservative (Amish) Mennonite Conference where it was only practiced between brethren and ministers at the invitation of the ministers.