As the storage space goes up, so does the amount of time that it would take to replace that data that you think of as non-critical. I wouldn't want to lose my movie, music, karaoke, ISO, ROM, Amazon, Steam, or HumbleBundle libraries, even though I could probably replace all of them.
The NAS with all that on it is a QNAP 669L with 6x6TB drives in a RAID6 (24TB nominal space - really 21.8TB). I could have gone with RAID5, but I wanted to get some experience with RAID6. 'Unfortunately', as far as getting experience goes, it has been running fine for 15 months, including recovering properly from a UPS failure that cut power unexpectedly.
I think you'd be fine with RAID5 (on 6x8TB I might say RAID6), but make sure to enable whatever notifications the NAS offers so you don't overlook a failure.
As for whether you need RAID at all, you have to think about how you're using the NAS, how much trouble it would be to be without it, how quickly you can get a replacement drive/NAS in hand, and where else the data is stored.
If you have a nearby friend who has (or is also in the market for) a NAS, maybe you both keep a copy of the bulk of the data, and if you have a failure, you just take the fixed NAS to your friend's house to replace the shared data that way. Or you can make partial copies of libraries on portable drives and keep them at friend's houses. It's amazing how many friends would be willing to 'store and occasionally spin up' a 3TB drive full of movies. (OK, they'll spin them up daily.)
Whatever you choose to do, consider RAID a convenience and not a backup plan.