Good day/evening to you, fellow fan-devs!^^
I've been seeking quite a bit for the sprites of apricorn balls in Gen.5,
however I never managed to find their full-sprite animations, just one frame of
each on bulbapedia. The difficulty to find those sprites is probably due to the fact
they were in-game but unobtainable legitimately (and also happened to be unusable).
I thus took the decision to make a short expedition to the region of Unova,
took footage of the apricorn balls' launch animations and, with the help of
those footages and the sprites found on bulbapedia I managed to re-construct
the complete launch animations for the artisanal apricorn balls(and the sport ball)!
However, I never truly got into reconstructing the "capture" animations,
primarly because the apricorn balls(and sport ball) are UNUSABLE, thus I
can't get any footage. Plus, I'm not an advanced spriter NOR know how to
properly extract in-game sprites, so... I'm leaving this uncomplete project
started one or two months ago here for someone else to complete.
If someone else already made complete gen.5 animations for
apricorn and sport balls please do, inform me about it.

To have them on essentials place the "pokeballs.png" file within the "Graphics/Pictures/EBS" folder.
Cheers.
I'M WILLING TO CREDIT :
LukaSj-author of the Élite Battle system plugins.The file I uploaded is an edit of the one found in Graphics/Pictures/EBS
Eridanus-Bulbapedia user whom uploaded the Gen5 Pokéballs' first frame sprites.
Redblueyellow-ripper of the gen.5 Pokéball sprites(except apricorn balls and sport ball)
For the full-scale picture click the "spoiler" button or click the thumbnail

Those are great, I wish I could help.
Sadly I am terrible at making sprites. The only thing I can offer is a recolor of your Lure Ball... You know the special ball made from a Blue Apricorn that gets a 3x catch rate boost when catching a Water Pokemon that was turned green in HG/SS for reasons that are beyond my understanding. And a poorly made first frame of the Beast Ball. Which I suppose would only add more work in trying to complete the ball animations. Sorry about that.

Already done some time ago