A common complaint about Martha in series 3 is that she's too "jealous". And to be fair, she does make a few comments under her breath in series 3 about this Rose person the Doctor keeps talking about. But that's well before she meets Rose, and before she even knows what's happened to Rose, and in Martha's defense it
would be supremely annoying to be repeatedly compared to someone you've never met.
But this post is not about whether or not Martha's jealousies were justified. This is post is about THOSE TIMES MARTHA AND OTHER COMPANIONS HUNG OUT AND IT WAS TOTALLY AWESOME, YOU GUYS.
Exhibit A: Jack!
Jack is the first companion Martha meets up with and they hit it off right away and start gossiping -- largely about the Doctor, which is his greatest fear. Jack can sympathize with Martha's unrequited love, and later on when Torchwood can't tackle something, who do they call in? Dr Martha Jones, of course! Because Jack knows that Martha is awesome.
Exhibit B: Donna!
When the next time trailer for
The Sontaran Stratagem first aired at the end of
Planet of the Ood I was SO EXCITED by seeing Martha, you don't even know. And so this time, Martha meets her successor rather than a predecessor... and once again they immediately start gossiping, to the Doctor's horror. I'll always find it something of a shame that in the three episodes that followed we didn't get that many scenes with Martha and Donna together, but the scenes we did get are awesome. Martha warns Donna about the dangers of travelling with the Doctor and advises Donna to learn from Martha's own mistakes. Donna is quick to make sure Jenny knows that Martha is not "collateral damage", thank you very much. They have an adorable hug at the end of
The Doctor's Daughter and I can only assume Donna got Martha's mobile number in order to text her about the Doctor's idiocy in the months to come.
Exhibit B: Rose!
This is my favourite example, even if it's the briefest. This brief meeting just made me SO happy. It was
so nice to see Martha and Rose finally come face to face... and
appreciate each other. This post is about Martha, so I'll focus on the sheer class she displays by reacting with such wonder and happiness to the fact that the mythical Rose Tyler is back with the Doctor. AND THEN ON THE TARDIS THE GREATEST 3 SECONDS OF ANYTHING, EVER HAPPENS:

Fandom spends all this time drawing speculative fanart of the
School Reunion-esque showdown that might take place between Rose and Martha if they met, and then when they do meet
they have a hugfest in the TARDIS. I can and do watch this gif on loop because everything is beautiful and nothing hurts.