The One Where Monica Gets a Roommate - S1-E1
Trivia: Phoebe singing giant pigeon was a deleted scene from the pilot. When it was used years later in DVDs with extended footage the audio was not very good and they had to get Lisa Kudrow to redo the audio. (This information can be heard on extended DVD audio commentary for the pilot).
The One After the Superbowl, part 2 - S2-E13
Trivia: A big plot line in this episode is Ross going to visit Marcel. Take a look at the restaurant names on the menu where they eat dinner: the restaurant is called "Marcel's."
Trivia: "Weird Al" Yankovic wanted to record a parody of this show's theme song titled "I'll Repair for You," that would have been themed around fellow 90s sitcom, Home Improvement. He obtained permission from The Rembrandts, but the producers of this show did not grant permission.
The One With The Embryos - S4-E12
Trivia: Chandler's line of "Donald Trump wants his blue blazer black" was a genuine flub by Matthew Perry. Everyone's reaction to it was so on-brand for their characters that they decided to use it it for the episode.
Trivia: The show's theme tune was originally going to be "Shiny Happy People" by R.E.M, but the band refused.
The One After the Superbowl, part 2 - S2-E13
Trivia: The young female crew member who Joey hopes can get him cast in Jean Claude Van Damme's movie is played by Lisa Roberts, sister to Julia Roberts, who is a guest star on this episode.
The One with the Birth - S1-E23
Trivia: The nurse who attends to the single mom and to Carol is the same actress who is Estelle, Joey's agent in later episodes.
Trivia: At Monica and Chandler's wedding reception, Phoebe covers for Rachel about her still unknown pregnancy by claiming she is the one who is pregnant. She claims the father is James Brolin, who is married to Barbara Streisand. Elliott Gould, who plays Ross and Monica's father, Jack Geller, was Barbara Streisand's first husband and is the father of her son. Also, Gould and Brolin co-starred in the 1977 movie, 'Capricorn One'.
The One With Joey's Award - S7-E18
Trivia: The original script for this featured a subplot with Ross seeing Chandler exiting a male strip club, with obvious confusion and assumptions, with Chandler later admitting he only goes there because he likes the sandwiches. Matthew Perry shut the idea down. He's barely in this episode, possibly as a result of this subplot being excised and it being simpler to expand the existing scenes rather than write a whole new Chandler-centric section.
The One with Two Parts: Part 1 - S1-E16
Trivia: Jennifer Grant, who plays Nina, the employee Chandler is supposed to fire, is the daughter of Cary Grant (the famous movie star of the 1940s and 1950s) and actress Dyan Cannon.
Answer: The painting doesn't have a name, and if it does it is never mentioned in this episode.