A good replacement of the defunct Torrentz.eu is the popular Torrentz2. Alternative Torrentz sites appear now and then but Torrentz 2 became a widely accepted successor.
Torrentz is a meta-search engine not hosting any torrent files. The site indexes torrents from various major torrent sites and offers compilations of various trackersper torrent that are not necessarily present in the default .torrent file, so that when a tracker is down, other trackers can do the work. Torrentz is not a torrent cache, torrent tracker nor a torrent directory.
Torrentz search get results from over 30 torrent sites, including popular sites like The Pirate Bay, RARBG, Kickass Torrents, 1337x and Extratorrent.
Clones, copycats and fake torrent sites
Many Torrentz clones popped up after the original Torrentz.eu site stopped operations in 2016. They often claim “Torrentz is back” promoting a new look and feel, better performance and so on. Most of those copycats just index a few torrents of popular torrent site like Extratorrent or The Pirate Bay and have advertisements placed all around the site.