Right now I believe that tor v3 onion services are the closest we have to practical approaches to minimize metadata (far from perfect, and the price point for defeating it gets lower)
There has also been a lot of really cool research in the last few years specifically on new cryptographic protocols in aid of solving this problem in a way that is different from the "we need a verifiable mixnet / PIR" approach see keywords: fuzzy message detection / oblivious message detection / OMR
