I'll Light a Candle for You Every Day - S2-E3
Continuity mistake: In season 1, when Ian is looking for Mickey, Mandy mentions that Mickey went to take their mum out of jail. After, it is mentioned 2-3 times that their mum is dead. Mandy also specifies to Lip in season 2 that she's been dead since she was a baby.
I'll Light a Candle for You Every Day - S2-E3
Continuity mistake: At the bar, Lenny is in a brief shot standing with his back to the camera. His shirt moves down between cuts when Frank walks in.
Factual error: Karen says she doesn't want to divorce Jody because he'll take half her life insurance payout in the divorce, but life insurance (as well as other inheritances) are not considered marital property and don't usually get divided in a divorce.
Parenthood - S2-E8
Continuity mistake: After Fiona's return back home from the club where she's worked as a waitress, the blackish strips on her cheeks turn from partially rubbed off (justified by her wiping the tears) to perfectly fine a moment later, then change several more times during her discussion with Lip. (00:38:35 - 00:39:35)
Continuity mistake: When Monica and Frank are driving in the car with Liam, the Crawford Power Plant can be seen just behind the car. At this point, they have crossed the Stevenson Expressway and they are heading south down Pulaski. However, in the scene where they stop the car and argue, as Monica drives away, the Crawford Power Plant can be seen on the left, right ahead of them. (00:13:40 - 00:14:50)
Visible crew/equipment: When Monica stops the car, as Frank is getting out, you can see two cameramen in the reflection of the window. Also, a train is passing by but during the shot where Frank gets angry and makes a mean face at the camera, cars are passing along as if there is no train at all. (00:14:30)
Continuity mistake: When Frank and Monica start arguing over the drugs, a train is approaching. It passes, however in one shot of Frank there is no train when we should see it.