Here is the Max Raid Battle theme that has been appearing in recent videos/trailers. The intro is harder to hear due to how quiet it is and with the loud dynamax pokemon cries. From the June 5th Nintendo Direct, Master Emerald was able to make the commentary less audible for the beginning part. I was able to remove most of the SFX for the rest of the theme however! It’s not perfect since I used around four videos, but this is the best I could do. Hope you enjoy!!

Japanese Gigantamax Butterfree Video:    • 『ポケットモンスター ソード・シールド』キョダイマックスしたバタフリーとマ...  
Master Emerald’s Video:    • Video  
I'll link the rest of the videos later..