Although it doesn't have any videos or replays available, I think a link to the ranking site should probably be available here since the current IL times listed can be a bit misleading to newcomers that wander here.

https://ranking.skydrift.info/en/index

Additionally, top 100 times can be seen with /records+filters in the url. Ex:
https://ranking.skydrift.info/en/records?course_id=0
for the top 100 on Mari-Circuit 1
or
https://ranking.skydrift.info/en/records?course_id=1&character1=1
to see all the Forest of Magic times featuring Marisa
or
https://ranking.skydrift.info/en/records?course_id=2&character1=2&character2=2
to see all the double Sakuya times on human village.

Thank you. Website added to sidebar.