Yes, many.
Artifacts whose creation predates the current dominant culture in a region (assuming nation state borders and names have morphed over the time), especially when that contemporary culture actively rejects those earlier cultures, are a prime example.
The Bamiyan Buddhas are a great example - or at least lead to a follow-up question to your question. If, say, the British Museum had transported artifacts of similar historical value (beauty, etc, whatever criteria you want to use) decades or centuries ago, but the ruling regime there now demanded their return, whilst making no secret of their intent to destroy those artifacts upon receipt -- what's would you advise the British Museum?
Beyond the dubious nature of geographical happenstance implying inarguable custodianship - another example of nuance to counter your 'everything is black and white' position would be around artifacts from pre-partition India (Pakistan), and who should own those, or more recently Yugoslav-era artifacts. There are myriad examples like these, of course.
Again, if you're happy to ignore the complexity and potential dubiousness of ancestry claims, or orthogonal religious / cultural values, etc - you're back to a geographical claim - 'there are people in roughly the same region as some different people, some time ago'.
