These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Crowning Music of Awesome: Hoo boy, where to start? Where to end? Uh...there's the first game's opening music, and then the Paradise Island opening music, and then Pirate Cove's opening music, and then that one song with the bongos and Irish flutes, and...you know what, let's just say every single song in the entire series and be done with it.
The soundtrack of Tropico 4 is even better although it may not be as catchy.
Ear Worm: Tropico 3 is rife with these. La Gata Loca is catchy in its odd, quirky way, whereas Verde Y Madure and Asi! Vamos! take the more jackhammer-inspired approach, and...heck, about two-thirds of Tropico 3's soundtrack qualify. Made about 10 times worse if you're not a Spanish speaker yourself.
Goddamn Bats: Thanks to how schools work in 4, forget about keeping the Nationalists happy. (Basically, they hate immigrants...but you often need to hire a foreign immigrant to teach at schools to get the ball rolling, so....)
The Nationalists usually don't get too obnoxious about immigrants unless you set your immigration office to an Open Door policy, in which case they will jump on you almost immediately after setting it to that work mode.
In the first game, Cabarets are only visited by men. In later games, women frequent them just as much (despite the fact that only female dancers work there).
Magnificent Bastard: El Presidente certainly shows signs of this in campaign mode. In particular, there's the Isla Desconida mission in 4, where El Presidente gets the island accepted as a European colony, then starts a communist revolution against...himself. Led by himself. To install himself as the ruler. The soviet agent and Penultimo are both pretty confused by the end.
Housing system. In previous games players could build whatever house they wanted and adjust rent so anybody could afford them. Now each building has a minimal pay requirement from tenants, meaning you have to rise pays of all those workers... and some of them still won't qualify. This also forces players to provide much more housing, as you can't just erect few houses with high capacity.
It's even more broken. For some reason even rich Tropicans prefere to live in shacks, build right next to empty Tenants or Apartments, while earning enough to easy afford (edict-lowered) costs of living inside. Then they decide to mount a revolution, based on their dissatisfied living standards...
Powerplants are now generating much more MW than in previous parts... but the consumption is almost ten times bigger.
Managers are good, but the way you get them is pain in the neck. After declaring an edict, they are slowly picked from your population. They can't be hired from abroad, their trait is picked up at random and Census edict revealing them has ten years of cooldown, while after five you won't get any new information from it.
1.02 patch fixed it a bit, making the edict work as intended.