Yes. Here are some of the most prominent ones and their respective state-of-the-art errors:
- CIFAR-10: ~3.5% error
- CIFAR-100: ~24% error
- STL-10: ~26% error
- SVHN: ~1.7% error
- ImageNet tasks: the best 2012 classification task solution got 15% top-5 error, better results are currently available
You can check an updated list of solutions here. Also, a more comprehensive list of modern datasets can be found here.