Removing old subscriptions from Apple Account

If you mean your purchase history, you can't delete items from your purchase history but you can hide them.

For apps, see this document: Hide purchases from the App Store - Apple Support .

It only mentions hiding apps but according to Apple (as Recommended in: how do i delete an expired subscription - Apple Community ) subscriptions get hidden too.

If you have an iPhone or iPad:

Settings > [your Apple Account] > Subscriptions > [each particular subscription] > Cancel Subscription