The place is called Saisei Sakaba. Shinjuku Horumon is an other restaurant owned by the same people. But the one from the Bizarre Foods episode its Saisei Sakaba.
Address J: 東京都新宿区新宿3-7-3
Address E: Tokyo, Shinjuku-ku, Shinjuku 3-7-3
If you check it out on street view in google maps you will see the exact same restaurant from the tv show.