Welcome back!
There are a few methods of dumping Amiga disks to disk image files for use in emulators.
Kyroflux is probably the best option at the moment. There's also the
SuperCard Pro but I haven't heard any reports on how well it works. You'll probably see recommendations for a Catweasel MK4, but those are very hard to come by these days. If you have a PC with a floppy controller on the motherboard, there's an option for that which requires the use of 2 floppy drives. Name escapes me, however. I'm sure someone here knows it.
Once you get the disk images, you can load them into your emulated Amiga. A package called
Amiga Forever is an easy way to get started.
Aminet should have some tools to convert your anim formats to something more accessible, although not necessarily fully modern. Alternatively, you could play the animations under emulation and record the emulator's video output directly to a modern format.