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.
Ear Worm: There is a certain catchy flavor to the theme song, about how "Victory is ours forevermore!"
Also, around this time, Emma Lahana (Kira) was attempting to launch a music career; her self-penned music was used on different occasions, as well as being available on her website. The songs "Freak You Out" & "Patiently" in particular, were rather catchy.
To further emphasize this: she is the not just the only female, but the only ranger period to fight with 2 veteran rangers, the only Yellow Ranger to appear beyond her core season without her teammates, and has shared screentime with more rangers than any other female in the entire franchise. Not bad for a Disney era ranger!
Hell, to an extent, all the rangers are some of the most loved in the franchise, especially as a team. There's a reason many fans consider this the Time Force of the Disney Era, and many were subsequently annoyed when no Dino Thunder actors were brought back for Super Megaforce (Tommy appears to only be wearing his Green and White Ranger outfits).
Fan Wank: How Tommy got that PhD in archaeology in the first place. A theory goes that when he had his brain scrambled by Prince Gasket in Power Rangers Zeo, he gained the ability to detect temporal anomalies and (briefly) see into the future. Thus, the ability to see the future also allows him to see the past, giving him near-perfect historical knowledge as well as just generally boosting his intelligence.
Hilarious in Hindsight: Tommy's morpher this season is a two-piece device that requires him to insert a key into a wrist brace. This is the same setup as in Gosei Sentai Dairanger, which only got one of the six Ranger suits in Power Rangers. Guess who wore that suit?
It's also the same setup for the Turbo Morphers.
In "Fighting Spirit", three Rangers, one red, another white, the other green, gave their powers to someone in a near-death experience. The same thing happens to Gai in Kaizoku Sentai Gokaiger. Bonus points for the Green Ranger being the same one in Gokaiger.
And the White Ranger in the Gokaiger scene is the one from the Sentai for this series.
So Bad, It's Good: The dub that takes up most of Lost and Found in Translation. Absolutely hilarious.
Special Effect Failure: The shields on the Green and White Mighty Morphin' suits that were used in Fighting Spirit seemed to be coming apart during the fight scenes. This is likely because the suits were bought from a museum to use for the episode and were likely created for displaying rather than actual stunt work. (this may also count for why the suits weren't 100% show accurate either e.g the silver trimming of the green helmet)