When Tommy and Dinko mess with time in order to get Tommy the day off from school, they accidentally create a new reality where Clinton is the dictator in a society ruled by sports; Dinko becomes obsessed with Earth superstitions.
When Swanky dares to eat his first potato chip, he goes from cranky to super-happy; when Flip stands still and hibernates, he's mistaken for a rare statue by both Spangley and Granville, who will stop at nothing to obtain him.
Dinko thinks Tommy of Earth's daily life is more fascinating than TV; Dinko's face gets stuck after riding a rollercoaster, but Spangley mistakes him for a monster and leads an angry mob to burn down the lighthouse.
Tommy and Dinko can't wait to try the Taffy Blast smoothie from Captain Spangley's Taffy Shop, but Dinko drinks his too fast and gets "brain freeze"; Gumpers and Tommy join the Seagull Scouts and go into the forest by Spangley for a series of tests.
Gabby's identical cousin Jabby is in town and Tommy will do anything to spend time with her, even bailing on his day with Dinko; when Tommy is grounded for the weekend, Dinko promises to stay with him.
Tommy is chosen to be entertainment director for the upcoming DeSpray Bay Festival and books the Comforma signing duo, Shank & Dank, who turn out to be awful singers; Dr. Daffodil comes to DeSpray to open a medical practice.
Gumpers has trouble sleeping, so Tommy suggests his magic pillow will make him feel like he's slept for 100 years; Tommy, Dinko and Gumpers are transported to an alternate dimension populated by primitive Granvilles and a giant Melba.
When Tommy becomes allergic to Dinko, Dinko decides he must leave the lighthouse forever; following a 100-course meal celebrating the Conforma Festival of Feastivus, Gumpers discovers that he can't burp.
Dinko helps Tommy capture an asteroid for a school science project, but the radiation causes his hand to increase in size; when Tommy pulls a sea urchin's spine from Gumpers' foot, he inadvertently becomes Gumpers' best friend.
Tommy finds a pink purse and violates a sacred Conforma Dimension law by becoming a purse opener; Tommy enters a soapbox derby determined to beat Clinton, and swears off alien technology after vowing to beat him fair and square.
The aliens find the lighthouse toilet guilty of ball swallowing and banish it to outer space; Dinko launches the lighthouse into orbit, so Tommy gives him a cellphone to contact him directly in case of emergencies.
Embarrassed at school, Tommy wishes he was invisible, but Dinko makes his wish come true; after Dinko alters Tommy's TV remote, the device is able to affect time as if it were a TV, so Tommy tries to use the remote to win his school track meet.
Tommy wants to win the DeSpray Bay MathOlympics and defeat his nemesis, Melba, but he stinks at math; when Tommy's too busy studying to play soccer with Dinko, he does the next best thing by creating a duplicate Tommy by hotwiring a photocopier.
When Gumpers sees Gingerbread Man cookies at the local bakery, he mistakenly believes the baker is turning real people into cookies; a horrible sea monster, Klattou, is slowly making his way to DeSpray Bay to settle an old score with Captain Spangley.
The only way Tommy can become the local Taffimon battle card champion is if he gets an ultra rare Alpha Centaurian Black Hole Warlord card; when Tommy of Earth explains the importance of clothes, Dinko panics because he's naked.
Journeying home to visit his parents, Swanky's Space Bubble crash lands on a desert island, stranding him in the middle of the ocean; Dinko believes a scarecrow in Melba's yard is waiting for Tommy to come home from school.
When Tommy breaks his arm playing soccer, Dinko is heartbroken that he let his best friend get hurt; when Dinko learns that great humans are honored with statues, he vows that Tommy of Earth shall have his own.
Dinko decides to give up junk food and eat more healthful food; Tommy is the only kid at school without the latest high-tech fad shoe, so Dinko helps his best friend by radioactively modifying Tommy's shoes.
Swanky's had enough of the uncivilized behavior of Tommy, Dinko, Gumpers and the rest so he packs up and moves out of the lighthouse; Tommy becomes jealous when he learns that Dinko and Gabby have formed a secret fan club.