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Amazon Prime is not part of FIOS offerings.
HBO is channel 899+
Showtime is 865+
That is if you have Verizon TV service.
If looking for apps on Smart TV, you will need to install HBO and Showtime Apps.
There again, not related to FIOS.
For the HBO go and SHowtime GO, you should be able to logon to the SMARTV app with your Verizon userid and password assuming you have HBO and Showtime as part of your FIOS service. Amazon prime app is your amazon id and password and is not related to FIOS. All three work pretty well.
For HBO and Showtime you would also have these channels available on your STB and have VOD support (different from GO App) available. The Channels are usually your best choice as they don't need to use your Internet speed to deliver content.
I don't understand your answer. I found Amazon Prime but I had to use my Samsung remote and to use the 'Smart Hub' button. I found Showtime/HBO thanks to a Fios rep that said to use 'On Demand'. My issues resolved.