What is the oldest pub in England called?

Possibly The George Inn, Norton St Philip, Somerset, after 1345 CE.

The George Inn in Norton St Philip, Somerset, has the strongest claim to be England’s earliest surviving purpose-built inn.

This likely makes the George Inn the oldest site where you can still buy a drink today.

The inn appears to have been built in the 14th century (sometime after 1345) by the Carthusian monks of Hinton Charterhouse, to provide accommodation for merchants attending the monastery’s markets and fairs.

The earliest phase that can be tree ring dated suggests the use of timber felled between 1430 and 1432, although some of the stonework might be earlier.

https://heritagecalling.com/2022/12/22/what-is-the-oldest-pub-or-inn-in-england/

According to this site, there are 4 older than 'The George Inn' (It's #5 on the list):

1. Old Ferry Boat Inn, St Ives, Cambridgeshire. 560 AD
2. The Porch House, Stow on the Wold, The Cotswolds 947 AD
3. The George Hotel of Stamford, Lincolnshire. 1200s
4. The Shaven Crown Hotel, Shipton Under Wychwood, The Cotswolds. 14th century
5. The George Inn, Norton St Philip, Somerset. 1397

https://www.historic-uk.com/Blog/Twelve-Oldest-Inns-In-England

Another contender is the Ye Olde Fighting Cocks in St Albans, Hertfordshire. This pub is said to have a history dating back to the 8th century.

https://en.wikipedia.org/wiki/Ye_Olde_Fighting_Cocks#:~:text=Ye%20Olde%20Fighting%20Cocks%20is,title%20was%20wrested%20in%202000.