Since there are so many threads already, here is a recap of the competition:
Self Hosted (in order of anecdotal popularity)
- Gitlab
- Gitea (fork of Gogs)
- Gogs
- Phabricator
- GitBucket
- Rhodecode
- Kalithea (fork of Rhodecode)
- GitPrep
- Allura
- GitSSB
- Pagure
If you want hosted Git, there are many competitors, but some of the notable are
- Gitlab
- Attlassian BitBucket
- Google Cloud Repositories
- Amazon CodeCommit
- Canonical Launchpad
- Sourceforge
All of which assume you want git, but other DVCSs are Mercurial (which is supported by a number of the above servers) and Fossil.
Self Hosted (in order of anecdotal popularity) - Gitlab - Gitea (fork of Gogs) - Gogs - Phabricator - GitBucket - Rhodecode - Kalithea (fork of Rhodecode) - GitPrep - Allura - GitSSB - Pagure
If you want hosted Git, there are many competitors, but some of the notable are - Gitlab - Attlassian BitBucket - Google Cloud Repositories - Amazon CodeCommit - Canonical Launchpad - Sourceforge
All of which assume you want git, but other DVCSs are Mercurial (which is supported by a number of the above servers) and Fossil.