Ultra phantasm breaks the replays, unless the patch has been altered so there are indeed no replays of it.
However, there are several youtube videos of it, and pretty much every single one I have seen (I have watched two), besides mine which sucks, has a pretty solid strategy and route for handling the stage.
IIRC you can perfect the stage up to Yukari quite easily (The way of handling everything is unchanged), but you could bomb for points once or twice.
Yukari's every non is easily doable, but I think the 5th one could just be bombed.
1st card is a bombspam, unless someone has a solid route for it.
2nd card is an easy capture.
3rd card is heavy dodging, and captureable.
4th card is pretty bullsiht, time a border and bomb if you are uncertain of the bullet paths.
5th card is an easy capture IIRC.
6th can get tricky - hang near to Yukari while circling.
7th card, time a border, pop it to cancel two waves. Bomb if needed.
8th card got some nice improvement, but the way of doing it is exactly the same.
9th card is a bit different, but it is doable. However, you could just bomb.
10th card safespot.
11th card easy capture, completely unchanged in the way of doing it.
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Doing something for the fact that you could show off with it is usually a bad idea and leads into anger. You should not worry about not having replays, just do it and beat that stage to feel good yourself. Achievements should be personal first, public after.
And you could record live.