So the vg "ANIME" is found, but is not activated? That kind of makes sense because it is missing the pv on the deleted /dev/sdb2 partition. According to the vgreduce man pages you can:
vgreduce --removemissing ANIME
to remove all missing physical volumes from the volume group and make the volume group consistent again. It's a good idea to run this option with --test first to find out what it would remove before running it for real. There is also "--partial" option you can use to activate vgs and lvs even if they are missing data. Read the man pages and be very careful before you proceed.
Without the metadata that's going to be tough. If the filesystem is all continuous on your RAID5 partition, technically you should be able to mount it if you can create a device pointing at the right start, and with the right size. Good luck figuring that out.
Another approach could be to recreate the /dev/sdb2 partition in exactly the same way you did before. The metadata might still be there, and the vg might come up.
Richard van den Berg