Most software that was a one-off purchase model and have now become a subscription model, have added significant service-based features. Examples that come to mind are 1Password that now has family sharing and team collaboration features, or Office 365 which has sync/storage and more web sharing features.
It could be argued that the sustainability of subscriptions enabled these features, but I think it's much more symbiotic - these features enabled a subscription model to work.
For an example of where this hasn't gone as well, I'd look to Ulysses which has moved to a subscription model but doesn't have service based features, and which you do not get to keep using at all if you stop paying. This has resulted in a backlash from customers that can be seen in the reviews online.
I liked Microsoft Money but it is not anymore around. Had it been Money 365, it would still probably be around.