It looks like the CKC is considering an all-breed/mixed breed coursing event, but I can't tell if it's been implemented yet. CKC Seeks Feedback and Volunteers Re: New Chase Ability Program | CKC
Right now, the only two organizations I know of that are offering titles in for all breeds and mixes are the AKC and the UKC.
For AKC eligibility:
"Section 3. Eligibility to Enter. Coursing Ability Tests are open to all dogs at least 12 months of age that
are individually registered with the AKC, recorded in the Foundation Stock Service (FSS) program,
individually registered with a foreign or domestic registry organization whose pedigrees are acceptable for
AKC registration, dogs granted a Purebred Alternative Listing (PAL) number, dogs with AKC Limited or
Conditional Registration, or dogs enrolled in the AKC Canine Partners program. Dogs with breed
disqualifications and monorchid/cryptorchid dogs are eligible to participate. Females in season may not
enter. A dog may enter only once per event. (An event is defined by an event number.)"
For UKC eligibility:
"VII. Entering a UKC Event. Dogs must be Permanently Registered, have a Limited Privilege number (performance events, companion events & Junior Showmanship), or have a valid Temporary Listing number."
The Limited Privilege number is now called a "Performance Listing Number". I do know that there are some UKC events in Canada, but I can't say if any of the UKC clubs there offer lure coursing.