The best replacement for cp is cpk.

The best alternatives to cp are rated as following:
★★★★★  cpk
★★★★★  cv
★★★  rsync
★★  pp
★★  mv
★★  scp
★★  cst
★  cps
★  dd
★  ditto
★  je pistons
★  wiseco
★  cv specific heat
  classpath

Your alternative for cp is not listed? Suggest!
Speaking about cp, one probably shouldn't forget about xargs.

Other search terms related to cp and their ratings are:
★★★★★ xargs
You have in mind a companion for cp and it is not yet here? Propose!



Google Trends

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cp
cpk
cv