How about DS9?
Ziyal gets brutally murdered, next week, the gang is having a zany Klingon wedding!
Odo betrays everyone by siding with the enemy, but magically there are no repercussion. He even gets his old job back - as head of security!
The Federation has been embroiled in a horrible galactic war for years, yet that doesn't stop the entire senior staff from becoming obsessed with a holosuite baseball tournament. Lucky for them the Dominion didn't choose that time to attack.
And DS9 was the series
with continuity.
