PSVita, while being sold lot less then 3DS and PSP combined, is actually an powerful handheld when jailbroken. Start here
Your Vita might be 3.74; if so, get HenIO first and then get VitaDeploy, select "Install a different OS" and then click "Quick 3.65 Install". This will install Firmware 3.65 and will give you an permenant Jailbreak. Anything beyond 3.65 is temp; when restart, it will revert back to Normal/unjailbreak due to patch Sony made while ago.
VitaShell allow you to share files from your PC to Vita as well as browse files inside your Vita. You can plug with USB or uses FTP with FileZilla
Jailbroken PSVita only; this added SSL security since Vita Web is outdated; check this page if it work.
VitaDB is homebrew browser, an bit more better than other homebrew browser out there
AutoPlugin allow you to install plugin on Vita (DRM-Free, Overclocked, etc).
Adrenaline is PSP Emulation; like PSP Operating System on to your PSVita. All you need to know.
You will need to downgrade firmware to 3.65 to make it work; it will not work otherwise!
Homebrew Browser for PSP, also work on Adrenaline
Reddit thread on how to get Internet Radio on PSP, also work on Adrenaline
yes it work, with iTLS-Enso installed of course
Site still up all these year, no idea if Ruffle work with these device but if you install Flash on Adrenaline (Using "Recovery Menu" by hitting "Select" button), it can work