I'm pretty sure you won't see any lists of Omicron deaths. First because releasing names of anyone with COVID-19 would be a violation HIPAA. Second, because the standard PCR test does not reveal the variant information and since there is no medical need for variant information, hospitals just consider it Covid-19. And lastly there is no reporting mechanism in the states to collect that information. Since there are so many cases of omicron, mild cases with just a runny noise are assumed to be Omicron. However, the only way to determine if the infection comes from a variant is to run a full genetic analysis which can take four days up to two weeks depending on the process.
In short there are no omicron cases, just covid-19 cases. If you would do a little research on the subject, you would avoid asking such stupid questions and making a fool of yourself.