The best replacement for lastpass is 1password.

The best alternatives to lastpass are rated as following:
★★★★★  1password
★★★★  keepass
★★★  roboform
★★  dashlane
★★  icloud keychain
★★  keeper
★  passpack
★  passwordbox
★  msecure
★  password safe
★  xmarks
★  one pass
  splashid
  keepassx
  ewallet
  norton identity safe
  datavault
  mitto
  dashline
  1password 4
  onelogin
  keychain
  onepass
  safewallet
  easypass

Your alternative for lastpass is not listed? Suggest!
Speaking about lastpass, one probably shouldn't forget about google authenticator.

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



Google Trends

Scale is based on the average worldwide traffic of lastpass in all years. Click on graph for more.
lastpass
1password
keepass