All public addresses generated from your wallet can still receive funds, even if they no longer appear under Request. As explained here, a new bitcoin/bitcoin cash address will automatically display under Request once the previously displayed address receives a payment. Your receiving address for ether will not change.
In Settings > Addresses, you can click on Manage to the right of each wallet to view all of the labeled addresses that have been generated for that specific wallet. Clicking Used Addresses allows you to see every receiving addressed ever generated within the wallet, as well as the current balance of each of these used addresses. Please note that when you send funds, your Blockchain wallet automatically selects addresses to spend from. That's why the current balance of an address can be different from the total received value.