Randers has a modest but perfectly functional bar and cafe scene centred in the old town and along the pedestrianised shopping streets. The city is not a nightlife destination, but it has enough for a pleasant evening.
Bøtten (The Barrel) on Storegade is the closest Randers comes to a classic Danish bar — dark wood, long opening hours, and a crowd that ranges from students to regulars who have been coming for decades. Café Smagfuld has a good coffee selection and does double duty as an evening wine bar. The bars near the Kulturhuset see more activity on nights when there are events on.
For craft beer, the options have improved in recent years, with a couple of taprooms opening in the old town area. Check locally for what's current — the craft-beer scene in Danish provincial cities turns over fast.