When Telemachus asks Odysseus what kind of help they have for taking down the suitors, Odysseus basically says, "We've got Zeus and Athena on our side. Are you sure that'll be enough?"
One story details how Hera was so spectacularly angry at Zeus that she left Olympus. After failing to persuade her to return, Zeus asked for help and was told to make a wooden doll, dress it in a bridal veil, and tell everyone he was getting remarried to lure Hera out. It worked.
Hephaestus gets pissed off because his wife Aphrodite is cheating on him with Ares and makes a golden net which he hides by their bed. The next time they start getting it on, the net catches them and hauls them into the air and Hephaestus calls all the other gods to have a good look. The whole of Olympus stands around laughing, and Apollo says to Hermes, 'So, would you mind being chained up naked for everyone to see?' Hermes promptly replies that he wouldn't mind a bit, provided he got to sleep with Aphrodite. This troper just finds their lad-banter hilarious.
An unintentional example, but if you look at some versions of Tiresias and Arachne's myths, Athena has really bad luck when it comes to helping people. A boy almost sees her naked and she tries to shield his innocent eyes? Whoops, she blinded him! A rival tries to kill herself and Athena tries to show her mercy by saving her? Whoops, now her rival's a spider!