For some things it is easy, for others it is next to impossible.
For credit cards where he is the primary card holder, simply call the company and asked to be removed as an authorized user. You can tell who is the authorized card holder by who the bill is addressed to. For cards where you are the primary card holder, then you are out of luck unless you can convince stbx to transfer the balance to a card in his name.
For bank loans, auto loans, and mortgages, the only way to get your name off is for him to refinance the loan in his name.
For car leases, you are out of luck. You are stuck with that until the lease ends.
For utilities, you may be able to call and get the company to change the name or they may require that he do it and also require a deposit from him. It all depends on the utility.
One final note, the credit card companies and banks do not care who was assigned debt in a D. They have no obligation to respect that. They will come after anyone who is on the loan in order to get their money.