Merseyrail don't offer 'Delay Repay' either, but do have a charter scheme that will give some reasonable compensation if it's for a journey only on their own services.
Tfl Rail and London Overground don't offer Delay Repay, but they will offer a 'service delay refund' which provides all of your money back from your fare if certain conditions are met. This is potentially superior to 'Delay Repay' because it's easier to use with Pay As You Go.
As I understand it, GWR don't yet offer 'Delay Repay' to Season ticket holders of longer than 7 days, because they're still on a discount scheme.
Hull Trains do not offer Delay Repay but they do offer a generous charter compensation scheme, far more generous than Grand Central's.
All of the other companies to which the National Rail Conditions of Travel apply do I think offer Delay Repay.
Delay Repay and Charter compensation rules are an entitlement over and above the National Rail Conditions of Travel, which sets out the minimum that all companies must offer.
At the point at which it is re-franchised, whenever that is, I am sure that Chiltern will move over to a Delay Repay scheme as
@yorkie says. All of the new appointments have moved companies over to one that provides compensation for delays of at least 15 minutes. There is still a lot of inconsistency though. There is also inconsistency around the rate for season ticket holders under Delay Repay, although this has been slightly ironed out more recently.