Let's just get this out of the way - Carter Grayson, the Red Ranger? Crazy Awesome. After being recruited by Lightspeed, his first action as a Ranger is to try and run over the current rampaging monster in a car.
That's not the only time Carter showed this trope. He also in one episode, duel wielded his V-Lancer and the Rescue Bird, both are big guns, and fires them both at the monster at point-blank range!
To clarify: In "Curse of the Cobra", Ryan is getting trashed by a mirror duplicate of one of the monsters, and the other rangers are getting chased through an industrial area. Carter gets the drop on the lead monster, but can't kill him in cold blood (oh, and at that range would also kill himself). Carter actually lowers his guns and walks away, but Demonite attacks, forcing him to shoot. Given the usual formula, this is pretty heavy for Power Rangers.
With the episode of History of Power Rangers focusing on Power Rangers Wild Force, it appears that Linkara is using Carter in the role of Memetic Badass, as when an unmorphed Cole (Red Wild Force Ranger) tries swinging at a monster like Tarzan & gets swatted away like a fly, Linkara laments it probably would have worked if Carter had tried it. That it's Carter being used as the example, and not Tommy (The ultimate Memetic Badass in Power Rangers) should tell you all you need to know.
You forget the best part. He saves the other rangers and knocking the trio back while unmorphed.
And of course, it's a moment of awesome in a meta sense- Titanium is the first ever American-made Ranger.
Also to note in Titanium Ranger history is the killing of the snake in the tomb. This followed by defeating Diabolico and doing it with the new Max Solarzord absorbing the attack of none other than Diabolico Himself and invoking a temporarily paused Attack Reflector !
Earlier, the debut of the Supertrain Megazord was amazing, from the complex rail-launching to the reveal that the entire thing was taller than two monsters entirely! Not even the previous Ultrazords seemed that much larger than the monsters.
In the season finale, Carter and Ryan are the only Rangers not trapped in the Lightspeed Aquabase, whilst the remaining Megazords are being piloted by Batlings. The Megazord-less Red & Titanium Rangers manage to do what literally hundreds of monsters before (And after) them have failed to do, and destroy a Megazord.
Speaking of, the siege of the Aquabase serves as a crowning moment of awesome for both the demons, for managing to get into the base despite their susceptibility to water, and the Rangers for how they manage to get out - using the submarine's torpedoes to destroy the Megazord that managed to turn the tide of the battle against two of Bansheera's generals in the prior episode.
Joel Rawlings gets to hook up with Ms. Fairweather at the end of the season. And when Power Rangers Time Force rolls around, it's revealed that they're married, too.
Well, how about that time whan a Cyclops monster becomes the new student of Chad's master? He utterly destroy the rangers untill Chad arrives and kicks his ass while unmorphed. Then, he morphs and shows awesome moves with the V-Lancer. Mike Chat's skills are the icing on the cake.
A meta one- thanks to Carter's appearances in Time Force and Wild Force, he's the only Ranger to keep his original set of powers (The Mighty Morphin' teams swapped powers in Season 3) over three seasons.