There are several adenovirus based vaccines, including vaccines for tuberculosis and influenza, among others. The first adenovirus vaccine I'm aware of was developed in the 1970s.
According to [1] there are only Covid and Ebola approved vaccines based on an Adenovirus vector. Only for the latter we have a couple of years of data and I am not sure whether it has been administered to large populations.
For tuberculosis there is no approved vector based vaccine [2]. Neither for influenza [3].