This isn't all of the spells, but I've managed to capture some spells in case people want to compare them to previous PSO/PSU titles:
This doesn't showcase their interaction with an enemy. That will be shown in Part 2 as Dark Spells are expanded/interact differently in PSO2.
If you'd like to share your own showcase, please do. My video recording isn't the best because I record on the same system I play on. The translations in these videos are community-made, and do not reflect the PSO2 NA version's translations or the views/opinions of SEGA or their Online R&D Division.