Mighty Morphin Mecha Rangers! contains the following tropes:
Adaptational Badass: The main team, Kaiba himself and even much of the side cast show shades of this.
The villains count as well: Asuka is basically The Dragon to Lelouch alongside Zero (impied to be Suzaku) and Makarov apparently had a plan that involved METEOR.
Alternate History: As detailed in Parallel Works #5, the main differences start during the American War of Independence (also name Washington Rebellion as a continuity nod to Code Geass) Benedict Arnold (and Benjamin Franklin) remain loyal to the independence movement and the slaves are freed to fight against the British, and the United States earns their independence with much more favorable terms. And Britannia emerges after a coalition of European countries defeated Napoleon.
Minor in the grand scheme of things, but Nia joined the Dai-Gurren Brigade without Kamina dying.
The Autobots and Decepticons awakened Adam and may have accidentally caused Second Impact. (Albeit Megatron was the one who accidentally awakened Adam.)
And I Must Scream: Deathwing is angry because he was caught in the Second Impact and trapped inside the Earth, while being forced to hear Barney's theme song during his confinement.
Big Damn Heroes: Kamina and Gurren in the battle against Deathwing and Heero Yuy in the battle against the zord.
Black and White Morality: The Mecha Rangers and the Angel Groove Defense Force have to go up against various enemies that would most likely destroy the town For the Evulz...
Curb-Stomp Battle: The entire second-half of the Deathwing crisis (which eventually culminates with MechaBreakerLordtearing the Dragon's humanoid form apart...AFTER HE BARELY SURVIVES A GIGA DRILL BREAKER!)
( Blackout vs Eva Unit 03 and an entire US army base armed with tanks and mobile suits, guess who wins?)
Britannia-backed Germany (lead by the Baroness and Dilandau) against Luxembourg. Then they discover that Luxembourg has a Planet Buster. It doesn't work.
Hand Wave: Some minor issues such as how the pilots all end up in the same cockpit sometimes is told off with awesomeness or nobody even cares enough to ask.
I Was Told There Would Be Cake: How Kaiba tricked Simon into joining. Simon claims that in the underground village he's from, people will die for a cookie.
Jerkass: Kaiba is the most obvious example, but there are a few others.
Large Ham: Lots, due to the nature of the fic, but Deathwing excels everyone.
In the battle against Cyclopisis, everyone, even more stoic characters like Roger and Heero turns into hammy hotbloodeds.
Ludicrous Gibs: The aftermath of the battle against Cloverfield.