What are all of the competitive arcade modes in Overwatch?

In addition to Overwatch's standard Competitive mode (6v6 capture/escort/control), which is constantly running in consecutive seasons, Overwatch often has limited-time alternate competitive modes available in the Arcade. These modes also seem to repeat, but with large gaps between them.

For example, Competitive Deathmatch's Season 2 is currently running in the Arcade, but I think the previous season was more than a year ago. I think I've played in most of these modes, but I've been wondering which I missed?

What are all of the competitive modes that have been available in the Arcade, and how many seasons has each had?

Competitive Arcade Seasons in Overwatch

• Lúcioball (3v3)
  • Season 1 (August 2017, with Summer Games event)
  • Season 2 (August 2018, with Summer Games event)
• Capture the Flag (6v6)
  • Season 1 (January-February 2018, with Lunar New Year event)
  • Season 2 (January-February 2019, with Lunar New Year event)
• 6v6 Elimination
  • Season 1 (April 16-May 8 2018)
  • Season 2 (March-April 2019)
• Deathmatch (Solo)
  • Season 1 (May-June 2018)
  • Season 2 (June-July 2019)
• 3v3 Elimination
  • Season 1 (June-July 2018)
• Team Deathmatch (4v4)
  • Season 1 (October-November 2018)