Continuity mistake: In the second episode Sabrina says the grocery store got bought and it was called "Howdy's" now or something like that (the uniform used to be red and then it was blue with those neck ties). In the episode where Burt, Jimmy and Virginia get kicked out, they visit the grocery store to steal food and they're wearing the blue uniform (as Howdy's grocery store) but it was way before Jimmy had Hope, and Hope was with him when the outfits were red.
Continuity mistake: In the scene where the door bell rings and the baby barks you see the dad get up from the table. Then in the next shot you still can see his arm at the table still. (00:02:15)
Continuity mistake: In the scene in the kindergarten when Hope is chosen for kindergarten scholarship, when the director is repeating Jimmy's lies, Jimmy hides his left forearm behind his back, but in the next scene shot from behind, his right forearm is behind his back.
Don't Vote for This Episode - S1-E22
Continuity mistake: In "Family Secrets" (episode 6) we learn Jimmy was lied to about being allergic to fruit (so he would not eat it all). So since he was a child he never ate fruit because he was told he was allergic to it. But in the season 1 finale there is a 5 year flash back where Jimmy is spending nights in the store dressed as "Drakkar Noir" he is eating apples and bananas - 5 years ago he still thought he was allergic to fruit.
Plot hole: In the pilot Jimmy finds out Lucy is pregnant while visiting her cell. In S2 E21 (Inside Probe) he finds out while taking to Lucy on the prison phone.
Continuity mistake: When the female serial killer is struggling with Jimmy, the knife she is carrying switches hands.
Not Indecent, But Not Quite Decent Enough Proposal - S3-E1
Continuity mistake: Maw Maw's hands and the champagne flute she is holding changes positions as the shots change while she tells her story of past boyfriends.
Continuity mistake: During the trip to California, the vehicle changes at least 3 times.
