A single Martian race observes Earth in "The Crystal Egg" and invades it in The War Of The Worlds;
Martian astronomers observe Earth in "The Star";
in The Autocracy Of Mr Parham, the title character dreams that he is possessed by a Martian warlord;
in Star-Begotten (and here) some people convince themselves that Martians are influencing Earth.
However, this amounts to only two real Martian races.