I think Mikestony posted a link to a mobile flash player archive where you can d/l it.
Or else d/l a custom rom and pull the flash.apk from that.
Place on your sd-card, remember to check unknown sources in your application menu and side load from your sd-card.
Personally saying you're not part of a generation shows some ignorance, as there are people of many generations using smartphones.
With any contract or agreement you sign something away. Phone, pc or whatever has an internet connection, and some sort of ecosystem, is gonna be drawing information from you knowingly or not. I'm glad that google expressly state it in their T&C whereas other companies might cloak it in jargon or what not.
The all in one thing was done a few months back and fair warning was given then. It was done to avoid repetition of T&C across their services. I did read the majority of them both before and after the revision. Nothing changed, just uncluttered.
Get an iphone or windows phone and you'll be entering into exactly the same situation even if you think otherwise.
The good thing with android is you're not forced to live exclusively within their ecosystem, as ocn pointed out above. Side loading from sd-cards and third party markets is a possibility, though risky sometimes.
No worries.
Not clear what a mobile flash player even is lol.... Could you expand on that? 
