Continuity mistake: During the scene in Schrek's department store, Catwoman has a tail clipped onto her beltline which keeps disappearing. It is visible when she jumps from the trampoline, and smashes open the door to the gas, but is missing in all the other shots. (00:54:00)
Continuity mistake: When Catwoman smashes a glass display case in Schrek's department store, the position of the items on and around the case change between shots. (00:54:25)
Continuity mistake: Catwoman turns the microwave dial to the right, pointing in a 3 o'clock position. A shot later it points in a 12 O'Clock position. (00:56:04)
Continuity mistake: When Catwoman and Batman are fighting on the roof, there is a big metal ladder attached to the ledge to the side of them, which keeps disappearing. (00:57:15)
Continuity mistake: Catwoman is about to land a kick in Batman's face, but from a side angle it hits him square in the chest. (00:57:20)
Continuity mistake: When Batman fights Catwoman, he hits her to the floor, and the thick handled end of her whip dangles down and touches the ground. In the next shot it is wrapped and tucked in a circle around her chest. (00:57:25)
Continuity mistake: When Oswald goes upstairs and finds Catwoman on his bed, he goes over and hangs his hat over the end of an umbrella in the rack. When he picks up an umbrella as he talks with Catwoman, the hat is now in a different position. (01:01:30 - 01:02:00)
Continuity mistake: When the Penguin picks up the ointment bottles, he throws them up and they land on the bed and pillows. These bottles and Catwoman's whip, which lays on the center of the bed, keep changing position. (01:02:00)
Continuity mistake: Catwoman looks at the Penguins enemy list, and it is left with the top page flipped up, but when Catwoman puts the bird in her mouth, the page is back to normal. (01:02:30)
Continuity mistake: Catwoman's lipstick smears down onto her chin when she puts The Penguin's bird in her mouth, yet in the shot just before she gives herself a "bath", the lipstick momentarily is gone. (01:03:20)
Continuity mistake: When Batman spots the Ice Princess tied up, he shoots his glider and the tip lands in a rough stone wall, but in the next shot as he glides down along the wire, the tip is embedded in a rusty metal wall. (01:13:10)
Continuity mistake: When Batman pulls the gag cloth from the Ice Princess' mouth, we see a reverse shot, with the Ice Princess' back totally bare. In the next shot two strips of cloth hang down her back. (01:13:40)
Continuity mistake: When Batman and Catwoman fight in front of the Ice Princess, Catwoman's black whip hangs from the ceiling. As she does backflips over to the Ice Princess, the whip vanishes for a shot. (01:14:00)
Continuity mistake: As the Ice Princess falls down from the skyscraper, it is clear she will not land on the lighting button, but she does. Between shots the lighting button moves closer to the edge of the stage too. (01:15:10)
Continuity mistake: When Batman is on the roof, his cape becomes a glider, the glider is separate from his cape as his cape falls off behind him. When he floats down the glider cape once again resembles his regular cape. (01:16:45)
Continuity mistake: When the Penguin pours Catwoman a glass of champagne, the properties of the bubbles and the actual amount of champagne in Catwoman's glass differs. (01:17:40)
Continuity mistake: When the Penguin is controlling Batman's batmobile, when the batmobile hits a police car, the car flies into a '24 Hours' shop. Between shots the amount of hubcaps and tires hanging on the brick wall around the doorway of the '24 Hours' changes. (01:20:15)
Continuity mistake: After Batman pulls the wires from the batmobile roof, the wires disappear/reappear during the scene. (01:20:30)
Continuity mistake: In the scene where the Batmobile diagnostics detects a foreign object, it shows it being located approximately to the front-left of the windshield. It is also a 2D plan view. Yet Batman automatically knows it is BELOW the car and punches through the floor directly beneath him, which is nowhere near where the Batmobile detects it. (01:21:35)
Answer: Nothing was stopping them. After Penguin's true nature was revealed, they most likely started searching the entire sewer system but couldn't find where his lair actually was so they had no choice but to give up.