It's Not Easy Being Green - S5-E16
Continuity mistake: When Hank goes to Bobby's class for "environmental court" and is sworn in, you see Bobby sitting at a large desk and to the right there is nothing next to it. The next shot there are now a few empty desks next to the large desk.
Continuity mistake: Whilst Bobby is talking to the other caddy about the ice blocking, Bobby is holding a coned ice cream in his hand. You can see he is holding a napkin around the cone below his fingers. In the following shot that shows a close up of his Bobby's face the napkin has moved up and is under his hand.
As Old as the Hills (1) - S3-E25
Continuity mistake: After the party when Peggy is fighting with Hank she tosses the cutlery into the sink, and the dishes are blue. The next shot of the dishes we see they are now green.
Bills are Made to be Broken - S4-E3
Continuity mistake: Whilst Bill is practising football in Hank's yard there is an aerial shot that shows Bobby & Hank walking towards Dale & Boomhauer and are close to them. In the following shot they are quite a bit further away from their previous position. Also the position of Dale & Boomhauer next to the garage changes between shots.
De-Kahnstructing Henry - S3-E13
Continuity mistake: As Kahn breaks the ceramic radio panda at the garage sale there are about 3 people behind him. He then starts to tell everyone to leave and then there is an aerial shot and the 3 people that were behind him have disappeared even though no one moved whilst he was shouting. (00:12:30)
Continuity mistake: When Bobby is driving the golf cart, he is alone. However, when he stops the cart to invite a neighbour (also in a cart) to his party, you can see feet and knees of someone sitting in the rear of the cart.
Continuity mistake: Hank says that when he and Peggy were 18, they were already married. But in the season one episode "Square Peg", Peggy tells Luanne that she "never even kissed" a boy until she was 20.
Continuity mistake: Before John Redcorn gives Joseph the Horn & Feathers cap, he is driving and you can see there are white lane markings on the road to the left of the car. After Joseph leaves the markings on the road disappear for the rest of the scene.
Continuity mistake: At the end of the episode Peggy gives Bobby his birthday cake without any pieces missing from it or marks in the cake. However earlier in the episode, Bobby brings cake for Connie. It's doubtful that there were two identical cakes. You can tell this is the same type of cake because the cream on the top is the same shape and color Bobby brought to Connie.
Peggy Hill: the Decline and Fall (2) - S4-E1
Continuity mistake: In one scene Hank is helping Peggy scratch one of her arms that is in a cast with some normal straws joined together. At first he is holding the last and first straws and there is only a few straws. The next shot he is holding the straws with one hand about halfway down (2-3 straws down) and there are more straws then there was before. After this shot the straws revert back to how it looked originally.
The Wedding of Bobby Hill - S3-E14
Continuity mistake: During the scene where Peggy and Hank are enjoying a spa, Hank fills up the champagne glasses with beer. He stops pouring a bit before the top of the glasses and there is very little foam on the top. In the very next shot both their glasses have foam overflowing from it.
Continuity mistake: Throughout the first couple of seasons, Hank's first truck switches between automatic and manual transmissions. This is most obvious in the episodes "Chasing Bobby", in which it has a manual transmission and "Texas City Twister", in which it has an automatic transmission.
Three Coaches & a Bobby - S3-E12
Continuity mistake: The two women near Peggy, who are sitting on the benches in the stands, are seated on the fourth and fifth levels in the wideshots, but in the close-up they're seated on the third and fourth levels.
Continuity mistake: As Peggy is trying to explain herself to Dooly's parents, the parents are sitting vertically from Principal Moss's desk. When we see Moss looking up in the school book, the mother is now, still sitting, almost facing the desk. (00:07:10)
Continuity mistake: After Hank returns from the permit office and he and Bobby are in the car, Hank has his seat belt on and his hands on the steering wheel. However in the very next shot his seat belt is completely off without moving his hands.
Continuity mistake: Whilst Joseph is fixing his bike, there is a green mat next to it. As he starts to ride the bike the mat has now disappeared.
Continuity mistake: As Peggy & Bill are checking into the hotel, there is a wide shot of the lobby and Peggy is wearing a sleeveless shirt. In the next shot that is a close up and she is wearing a pink full sleeve shirt.
Hillennium - S4-E10
Continuity mistake: As Peggy goes for her present and rips the wrapping paper to see it's a grandfather clock, it is set at 12:35. The following shot it's at 11:55. A little later on when Hank is about to varnish the clock, the time changes again before and after he closes the garage door where he is doing the varnishing.
Three Coaches & a Bobby - S3-E12
Continuity mistake: When Coach Sauers is trying to run over the football players with his car on the football field, there are a lot of track marks on the field. There is then a tracking shot of Sauers from straight ahead of his car and you can see there are absolutely no track marks whatsoever, on the field behind him. (00:15:30)
Won't You Pimai Neighbor? - S4-E18
Continuity mistake: After Bobby takes the first spiritual test, Minh and Kahn come behind Bobby. Looking at Minh's hair and the top of her dress are both very wet. However before this she was completely dry and there was no scene where water was sprayed on her. She stays wet for the rest of the scene probably indicating that there is a scene deleted from the episode as it is far too obvious to be missed.
Answer: Jeffrey Boomhauer is a Texas Ranger as can be seen in the final episode at the end when he sets his wallet down, it flips open revealing a Texas Ranger badge.