As an enveloped virus, Influenza uses endocytosis to enter the host cell. The hemagglutinin protein sticks to the host cell then enters and starts replication. Neuraminidase is used for the viral copies to exit the host cell.
While RSV is also an enveloped virus, it is able to use both fusion and endocytosis to enter the host cell.
Coronavirus, another enveloped virus, was previously thought to only use fusion, but SARS (and SARS-CoV-2) appears to be able to also use endocytosis.
Parainfluenza (enveloped) binds to the cell surface with glycoproteins and then fuses to the cell membrane. Likewise, Human Metapneumovirus, as an enveloped virus, also uses fusion to enter the host cell.
Adenovirus and Rhinovirus are both naked viruses, so they use endocytosis to enter the cell.
Regardless of their method of entry, all of these viruses cause cell death upon exiting the cell.
The image shows the cytopathic effect a virus has as it leaves the cell.
9. Goldsmith, C., Rollin, D., USCDCP. "Presence, novel, H1N1, virus, virions, tissue, culture, sample." Pixnio.com, 10 Aug 2016, https://pixnio.com/science/microscopy-images/influenza/presence-of-a-number-of-novel-h1n1-virus-virions-in-this-tissue-culture-sample#