The Penguin Restaurants The Penguin Visit Website Request Info 105 Garfield Pkwy. Bethany Beach, DE 19930 (302) 541-8017 Facebook Hours: In Season: Daily 8am - 9pmOut of Season: Open for breakfast and lunch Fri, Sat, Sun & Mon About Map About Voted Best Diner in Delaware in 2014, the Penguin has been a local favorite for breakfast, burgers and delicious sandwiches and salads. A diner like no other Directions On Garfield Parkway close to the Bethany boardwalk. What's Nearby? Distance: 5 10 15 20 25 50 mi.