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].

[1] https://en.wikipedia.org/wiki/Viral_vector_vaccine

[2] https://en.wikipedia.org/wiki/Tuberculosis_vaccines

[3] https://en.wikipedia.org/wiki/Influenza_vaccine#Manufacturin...