Continuity mistake: When Raven telekinetically reassembles the broken chime bead necklace, it has about nine beads and is rather tight, but before and after that the necklaces feature about 13 or 14 beads and are wide enough to fit around the others' necks.
Fear Itself - S2-E5
Continuity mistake: When the Wicked Scary Monster first reveals itself in the Titan's Tower, we see the Titans huddled together in chibi-form after the commercial break. At first we see the Titans cowering behind Robin, who is standing in the middle, but when we see the Monster again up front, suddenly Starfire has taken the center and Robin stands between her and Beast Boy.
Continuity mistake: Within the timestream, Starfire rips off Warp's vortex regulator with her left hand. She still has it in her hand when she first shields her face with her left arm, but as we see Warp dropping out of the timestream and Starfire following right afterwards, both of her hands are empty.
Fear Itself - S2-E5
Continuity mistake: The animated video shelf which goes after Beast Boy uses red and grey DVD cases as eyes and teeth. When Beast Boy roars at it as a T-Rex, the shelf loses its "eyes" and "teeth" out of fright, but when Beast Boy charges into it, it suddenly has them all back on.
Fear Itself - S2-E5
Continuity mistake: After the video rental clerk shoves the Wicked Scary DVD into Beast Boy's face, the scene fades to the evidence room where Robin is depositing Control Freak's remote. In the showcase to the left which holds the masks of Slade's robots, we also see some of the Puppet King's Titan puppets and his soul-switching control, which got crisped in blue fire in first season's "Switch"; therefore it should not be on display. (Switch to slow run to detect it; it's rather difficult to catch on normal speed.).
Continuity mistake: After Warp just barely managed to fend off Nightwing's grenades, he notices Nightwing's shape leaping at him. In that shot, before the scene where Warp sinks into the ground, the socket for his vortex regulator is glowing blue instead of red.
Continuity mistake: When the mutant moths are first seen, their eyes glow in sinister red, but in all subsequent encounters in this episode, they have blueish eyes.
Continuity mistake: The Titan Communicators' lids depict the Titan's logo: a white T in a black circle, encased by a yellow rim. When Robin calls up the other Titans after recovering from his paralysis, the lid of his com device has a black T in a rimless yellow circle; later it has the standard design described above.
Fear Itself - S2-E5
Continuity mistake: After claiming to Cyborg (her last remaining teammate) that she never gets scared, Raven turns away to find him missing; at that point you can see the cellar door in the right-hand wall. But when the winged shadow monster appears and Raven turns to run, the cellar door is gone.
Continuity mistake: Starfire intercepts Soto's ship upon take-off and pushes it back to Earth. But when Soto proceeds to activate the lift-off thrusters, look at the UFO's window: the canopy of treetops moves in a fashion which indicates that the ship is currently moving up, not down.
Fear Itself - S2-E5
Continuity mistake: Strangely, Cyborg's opponent during the scuffle in the video store changes from a garbage drop box to a video shelf similar to the one Beast Boy is struggling with - and Control Freak animated only one of those shelves.
Continuity mistake: When Kitten makes Robin lead her onto the ship, Starfire is crush-gritting her teeth, then she slams her fist onto the hood of the car on her right side. When she skids into the picture, the car in question is a red sedan, but when she hits it, it suddenly is Kitten's pink Rolls Royce, which was standing in front of her (and slightly to the left) just moments before.
Chosen answer: It is located in California, as shown in "Teen Titans: Trouble in Tokyo". Possibly San Francisco as seen in the comics.
MasterOfAll