One of the top spots in Běijīng for watching sport on TV (Premiership football especially, but also American sports, AFL, rugby and Formula 1), Paddy’s has a large number of screens, allowing for multi-channel viewing. Though be aware streams can drop out. It's about as Irish as a Guinness poster, but there's a proper bar to sit at, the service is warm and efficient and it does pub grub.
There's a good range of beers on tap, and a choice of spirits too. Happy hour is 2pm to 8pm Monday to Friday and till 6pm weekends. There's a handy Indian restaurant upstairs to order from too. It's a 15-minute walk from Dongzhimen station.