Red Flame Coffee Shop 67 W 44th St,   New York 10036 Btwn 5th & 6th Ave Phone: 212-869-3965 Fax: 212-869-4398 Menu link click here. To visit The Red Flame Coffee Shop in Midtown, Manhattan is to have the quintessential New York diner experience. Monsieur and I have visited this bastion of weekend brunch each time we’ve been in…