Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: When Rory asks Lorelai to call Emily to get her out of Friday night dinner so she can celebrate her and Dean's 3-month anniversary, a boom mic drops into the shot as Lorelai stands to get the phone. (00:07:05)
Visible crew/equipment: When Dewey yells for Lois because the bow was put on the present, if you look to the left of Lois, you will see a crewmember kneeling down, handing Lois the Red Dress, who is holding a bucket of water. He quickly gets out of the camera's view. [This is on the DVD of the first season. Someone said on the audio commentary that after catching it, they deliberately left it in to see if anyone would spot it. It's still a mistake, but that's why it's there.]
Visible crew/equipment: Before Larry walks out the door of his house, at the start of the episode, the fingers of a crew member are visible to the right of screen.
Visible crew/equipment: Just as Ben starts to sing about life, there is a shot of a picture on the piano. If you look at the picture, not Ben, you will see the reflection of a camera or microphone arm.
Visible crew/equipment: The boom mike is reflected many times in people's sunglasses, especially Kylie's.
Visible crew/equipment: When the van races up to the hospital entrance and the door opens, it reflects a clear image of several film crew members, including the man holding the pole rigging for the boom mike. (00:18:20)
...And Four Stolen Hooves - S1-E1
Visible crew/equipment: When the jockey falls from the horse, there is a 2nd quick shot of the same scene, to extend it a few seconds. In the first part, the horse is running free; in the 2nd, we can see the bridle that's leading the horse forward. (00:36:20)
Visible crew/equipment: When Steve goes into the dining room, he meets Jill and they chat for a bit. When Jill says, "I'm sorry, am I making you nervous?", a boom mic can be seen in the upper right corner of the screen. (00:11:45)