But yeah – sadly London's system used to be pretty cool, but the clay interior has acted like a battery, slowly absorbing the heat, and it simply can't absorb any more. It's a massive engineering problem (and oversight).
IIRC a big difficulty is that the tunnels are extremely narrow, so it’s just difficult to get any extra equipment in there. (I wouldn’t have thought that’s insurmountable, though, so there’s probably more to it than that.)
Alternative ways to cool the trains have been under investigation for decades, but there isn't an obvious solution.
200 years of constant usage has heated up the surrounding bedrock.
[0]: https://commons.m.wikimedia.org/wiki/File:Why_London_Undergr...
Small steps…
The trains running in tunnels of similar construction to NYC have AC.