The best replacement for lxc is openvz.

The best alternatives to lxc are rated as following:
★★★★★  openvz
★★★★★  docker
★★★★  kvm
★★★★  jails
★★★  cgroups
★★★  chroot
★★  vagrant
★  libvirt
  vserver

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

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



Google Trends

Scale is based on the average worldwide traffic of lxc in all years. Click on graph for more.
lxc
openvz
docker