Although I don't know of any service which doesn't show the full transaction, Blockchair highlights the address you are looking up so it is easy to see only the amount you have received from any given transaction. I would also suggest that a recipient would absolutely want to see how much confirmations a transaction has - such knowledge is vital to the safe running of any exchange, service, merchant, business, etc.

You would presumably have to identify in some way which outputs are going to which recipients, so if someone looks up the transaction the other outputs they are not interested in can be filtered out. There are huge privacy downsides to this. The easiest way, I would have thought, would be to have something like Blockchair above when looking up your own address, but instead of highlight your address it simply removes all other outputs.