If there's one thing that I believe is true, it's that there's a proportional relationship between the amount of conflict a story has and how complex it has the potential to be. Here's a story with relatively little conflict:
Jane, average middle class citizen, catches a minor cold, takes a few days off work, and gets better a few days later.
Within the scope of that premise, there's not much that can or needs to be elaborated on. You might chronicle something like her trip to the doctor's office or her being anxious about missing an important date or making someone else catch the cold, but that's about all I can think of. Let's see what happens when we add a boatload more conflict to the story:
Jane was cured of her cold last week, but this week finds herself addicted to the cold medicine. She struggles to overcome the addiction and ultimately triumphs.
There's a lot more you can do with this that I can think of. How will all of Jane's loved ones react? Will Jane give in to the addiction or fight it? What does the addiction drive her to do? When she goes to renew her perscription, will Todd, the possibly sleazy pharmeceutical salesman try to help her or take advantage of her? Will she be fired from her job? Does she see the medicine as a "gateway drug" and become hooked on other drugs as well? Does she have a car accident if she tries to drive? Does she sue the drug company for making a drug with addictive properties? Does she overdose at any point, and if so, what happens to her? If she starts running out of money, what does she do to get her next hit?
And those are just some basic questions. There's a lot of ways to answer most of them, and for some of them, the answers may change as the story progresses, something that's also true of the first story, but not to near the same extent.
This is why I normally do prefer to produce and consume media that has conflict, because the more conflict it has, the more it has to work with. Trying to write a story without conflict for me would be putting a severe limit on my imagination.