I love me some Dr. Destiny! I'd add Dr. Light, Eclipso, and Shaggy Man too. I'm also personally fond of Mark Shaw/Manhunter/Privateer/Star Tsar.
My team rankings (leaving out LoSH because I haven't read enough)...
1. JLA
2. JSA
3. Teen Titans (OG and NTT)
4. Doom Patrol
5. New Gods
6. Outsiders