Influenza is a family of related viruses. COVID-19 is actually the disease caused by the virus. SARS-CoV-2 is the actual virus, and it is only a single virus in the family of coronaviruses. Other coronaviruses include SARS-CoV, MERS-CoV, and a host of others which just cause a subset of the common cold.

This should be compared more to something like the H1N1 outbreak, which was a single influenza virus that was particularly deadly for some subset of people. That was just one type of influenza.