The best replacement for shared hosting is vps.

The best alternatives to shared hosting are rated as following:
★★★★★  vps
★★★  dedicated hosting
★★  dedicated server
★★  dedicated
★★  reseller hosting
★  cloud hosting
★  managed hosting
★  virtual hosting
★  virtual private server
★  paas
★  grid hosting
  virtual server
  vps hosting
  google app engine
  private hosting

Your alternative for shared hosting is not listed? Suggest!
Speaking about shared hosting, one probably shouldn't forget about dedicated ip.

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



Google Trends

Scale is based on the average worldwide traffic of shared hosting in all years. Click on graph for more.
shared hosting
vps
dedicated hosting