Will Adult Swim going to have the rights to Cowboy Bebop, Big O, Ghost in the Shell, and Code Geass forever?

No, the contract is either time weighted (they ahve it for four years) or 'x' amount of showings, whihcever comes first

grownup Swim does tutor a number of those exhibits on uncommon days. They nonetheless do tutor InuYasha and Code Gearse on those days that they have not something to air. regrettably they took Cowboy Bebop, Trigun, and death be conscious away. yet they pronounced that they could convey them lower back. in line with probability. i desire this facilitates.

Nope... they just have to run the contract