La Fiesta has won many Best of Denver awards, and it's eligible for so many more. Best Mexican Restaurant in a Former Grocery Store. Best Strictly Colorado-Style Mexican Restaurant. Best Wednesday Special (chile caribe). Best Weekday Lunch-Only Mexican Restaurant. Oops, that no longer applies. Because La Fiesta has now extended its hours on Friday, and Friday only, to 9 p.m., and added special happy-hour deals on both food and drink starting at 3 p.m. On sunny days, the outdoor patio is the perfect spot to watch conscientious business types racing home to pay the babysitter; the capacious dining room is conducive to throwing all manner of impromptu parties.