Continuity mistake: Tara is sitting at her desk and tells Max they will have sex the following night, and she teases him that she "Might even bring some props." Right as she says this line, the camera cuts. In the first shot, she has one pencil in each hand, but in the second shot, suddenly both pencils are in her left hand. The position of her hands changes between cuts as well.
Continuity mistake: When Marshall and Jason are speaking in the hallway near the end of the episode, watch the background. The extras playing the students often do not match as the shots cut back and forth. (Most obvious being that students walking down the hallway, who vanish and appear when they should not).
Continuity mistake: After "Alice" washes out Kate's mouth with soap, watch Kate's face. At certain times in the rest of the scene, there's a bit of soap-suds around her mouth, while at other times its gone. A red smear also appears on her face between cuts after she comes back inside of the restaurant to ask for an application.
Continuity mistake: In the beginning of the episode, watch closely when Tara lifts Bryce out of the water and pulls the shroud from his face while water-boarding him. Bryce goes from soaking wet, with water dripping off him when he was first lifted out, to more-or-less dry with no dripping water a mere instance later after the camera cuts a few times. There was nowhere near enough time for him to dry-off between cuts. (It's literally a second or two at most.) True, this scene takes place in Tara's mind and thus some real-world rules might not apply, but the water behaves like normal water in the rest of the scene, so Bryce should still be soaked and dripping.
Transition - S1-E6
Continuity mistake: Right after Charmaine opens her top to reveal her botched boob job, when Max goes up to see Tara giggling in the bedroom and sits besides her, Tara goes from facing forward to facing Max between cuts. She's also closer to Max in the second shot.
Alterations - S1-E7
Other mistake: When Max drives Charmaine to the surgical clinic, watch the background. In the first few shots, they are driving through some sort-of suburban neighborhood if you look out the windows, but suddenly when the camera cuts outside of the car, they're in a parking lot for the clinic, nowhere near the neighborhood they were literally just driving through. There was no time-jump as they are having a continuous conversation through the entire scene.
Continuity mistake: In season one, Tara's neighbor Don's backyard was shown in the episode "Transition" - it had a patio and in-ground pool. This episode show's Don's backyard again when Tara and Max have sex, and it's completely different, indicating the scenes were filmed in different locations. Most noticeable is the fact that the in-ground-pool and patio are missing and the fences are different, with plants having grown all over them. While some time has passed since it was last seen, dialog in this season indicates that Don hasn't made any changes to the house or property in years, plus the fact that removing a pool and patio are relatively long and laborious processes, so the backyard should not look as fully developed as it does even if he did somehow remove them and replace the fence in the meantime.
Revolution - S1-E5
Visible crew/equipment: When Tara gets into her car after seeing her therapist with Max in the beginning of the episode, watch closely when the camera moves up to the side of Tara's car. If you look at the bottom-left corner of the screen, you can see the top of a crew-member's face and some camera equipment reflected in the driver's side window right before the scene changes. (00:05:40)