When you run without startup-sequence (or minimal) you should have 836K of available RAM. When Tiny Launcher is launched as you can notice there are 625k left.
Ok I did a light version which leave 736K free.
I have successfully launched : BloodMoney, ChaseHQ, Lotus with 1MB of Chip RAM.
The Amiga 500 with 1MB can run : Arkanoid, Blood Money, Chuck Rock, DinaBlaster, Galaga 92, Goldrunner, Giana Sister, Lotus, Nebulus, Menace, Rodland, Turrican 2...
Beast1, Beast2, Battle Squadron, doesn't works, Bombjack