'Your car will be ready by then' is clearer in this situation.
Your car will be fixed by then is similar because in this case 'fixed' is an adjective, like 'ready' (it was 'broken' before)
If you talk about the action, 'fix', you can say 'will have been fixed' - this is a verb in the passive form. You can say that but the other way is more natural in this case.
:)