Eps. 1-2 - Meet R. Dorothy's sister ... the one that shops in the "plus size" section, and Beck
Get to experience the voice actor getting familiar with Big-O 
Ep. 3 -Yes Virginia, there is somebody outside of Paradigm City, apparently people forgot about these folks
Provides the source of material for the three-headed hydra of S. 2.
Ep. 4 - And you thought NYC's current subways were bad, Roger's flash back to "childhood", a prototype/archetype megadeus ... plus plot-armour in action 
Ep. 5 - Good cop gone rogue, odd looking megadeus firing what in Star Trek terms would be plasma torpedoes with paper thin armour
Ep. 6 - Good android gone bad under evil bass-turd's suggestive influence, inflicts serious damage on self. Apparently the answers are not "blowing in the wind" ...
Ep. 7 - That sure don't look like posiedon. Not sure how the water stayed out of all those buildings... Also wonder how all those apparently exposed circuits on the megadeus survived the bath. Don't go poking in places you don't understand 
Ep. 8- Here kitty-kitty. We're all screwed if dog/cat theives resort to that kind of firepower
One word ... chimera.
Ep. 9 - Mr. Beck is back, with a big yellow megadeus... how he funded it... no clue. Just a theory of mine, but maybe funding came from Paradigm Corp? Though it features what appear to be shoulder mount rotary missle launchers, akin to Big Duo .. something Paraslime apparently could not replicate when it made Big Duo Inferno. Anyway... the mecha **beast**, big time.
Ep. 10 - Booom chakka-lakka. If you're going to use the same vehicle for transport everytime... why choose something conspicuous?? Guess it boils down to the cyclical nature of things. The good Dastun (not by Nissan) realizes... holy expletiving expletive... I know that gal, I've been there before, I'm the guy in the movie... First real introduction to the mind bending parts of Big-O. While the megadeus looks like a giant toy robot, the name is great, and references deities of vengence, also known as furies 
Ep. 11 - Daemonseed ... Now... that's a Christmas tree. Even the head of Paraslime recognizes Christmas. I do wonder, what happened to that *GIANT* tree. Never see it again that I can remember.
Ep. 12 - Yes, Virginia, we're in NYC. "Black Forest" returns, and boy is he pissed. Now, why are there the remains of what's obviously a nuclear sub, I think it's an Ohio Class but not 100% sure, sitting at the ruins of JFK Airport in the vicinity of what's left of a Boeing 747? Also, why oh why did Schwarzy descend from the sky to gloat? Who or what was Big Duo crawling back toward? Moving in the general direction of Paraslime, but IIRC both Alex and "Angel" were in the dome.
Ep. 13 - Meet Dorothy's other -- other sister. Alternatively, it's another, defective??, copy of a R. Dorothy from a previous existence (see final episode). What ever happens to the disc from Red Destiny? Also explains how Roger comes to be facing three megadei in the water.