The Fat Badger, YorkvsYHA York
Lamb & Lion Inn and YHA York are both highly recommended by expert reviewers. Overall, Lamb & Lion Inn scores significantly higher than YHA York. Lamb & Lion Inn comes in at 76 with accolades from 2 reviewers including Lonely Planet, The Telegraph.
The Fat Badger, York
 The Telegraph
 Lonely Planet
 The Guardian
 The Telegraph
2 - 4 High Petergate, York YO1 7EH
From $78/night
- Bar/Lounge
 - Free Internet
 - Free Breakfast
 - Restaurant
 - Meeting Rooms
 - Breakfast included
 
8.0
 "This Georgian pub with rooms has a period feel, simple rooms and choice of good pub food or smarter modern British." Full review
 "Occupying a perfect spot in the shadow of Bootham Bar, the Lamb & Lion is a crooked 1756 Georgian pub with 12 simple period rooms." Full review
 "A short drive from the Holy Island of Lindisfarne, the Fat Badger is a luxurious, industrial-chic house with wood burner and a large patio for star-gazing." 
10 of the best UK seaside hotels, lodges and beach houses
November 13, 2022
8.0
 "This Georgian pub with rooms has a period feel, simple rooms and choice of good pub food or smarter modern British" Full review
YHA York
 Lonely Planet
42 Water End, Clifton, York YO30 6LP 
From $0/night
- Bar/Lounge
 - Laundry Service
 - Laundy Room
 - Restaurant
 - Free Parking
 - Kitchenette
 
 "This handsome Victorian house makes a spacious and child-friendly youth hostel, with most of the rooms being four-bed dorms." Full review
 i 
It's about a mile northwest of the city centre; there's a riverside footpath from Lendal Bridge (poorly lit so avoid after dark).