Except for the first, you can mod the others.
In all seriousness though, I was genuinely more than a little disgruntled when Civ 3 first arrived and I couldn't either settle on Mountains nor chop them down. "Why are they going backwards!" I exclaimed to no-one. Later on in years I tried Civ 4, and you couldn't even road/mine the mountains... er... I mean 'Peaks', lol. Though I think someone did a mod so you could road the mountains, er, I mean peaks.