Post-PlayStation I don't think there was enough money in PCE budgets to produce the original footage.
Regarding Yuna: I've always wondered what the origin of this clip was. That version of Yuna 1, the reprint that came with the HuVIDEO disc, was released when Yuna 2 came out or very near that time. They didn't throw it in with Yuna 2, that game has zero HuVIDEO or any other type of FMV, IIRC. The footage is all of Yuna and the robo girls from the first game. Yuna's design is from the first game, not Yuna 2. Then when it finishes playing you get some Mika Akitaka art works.
It just seems really unlikely to me that Hudson would bother to spend $10k or whatever on that clip just to throw it in with a reprint. I wonder if it was a pilot film for a failed OVA (eventual OVA uses different designs) or a trade show or something. Maybe a tape that played in a store?