It's good to keep up with these side missions, so that way you're not grinding through so many at the end of the game. Aside from fetch quests, there are also ones related to fishing, photos for Prompto, world encounters, and more. Side quests are denoted with blue names on the 'Quest' portion of the main menu. In Final Fantasy XV, there are three quest types side quests, hunts, and main story missions.
Refer to Weaving a Tapestry for more information. Visit a diner or restaurant and speak with the NPC there to gain access to hunts. MAKE SURE TO CHANGE THE DIFFICULTY TO NORMAL, OR YOU'LL MISS THIS ONE.