I think people misunderstand the word "conflict".
For me conflict means tension or raising questions to hook the readers and get them to turn the page, it doesn't mean you need to start with full blown conflict in the sense of the middle of a fight, or argument. You need to start with actions but actions in the sense of people doing something and not just pondering or describing the weather, etc...
My advice would be to pull some books at the library or use the "look inside" facility on Amazon and study the opening pages of books from different genres and see how they start. I believe that something with over-estimate the amount of background information or world-building readers need to enjoy a story. For example The Handmaid's Tale which is speculative fiction, you start straight into the story and you discover the world as you read along, no information front-loaded before the story starts.
For example "Fahrenheit 451" starts low key with a fireman that gets off from work (starting with action), but the author drops clues to get the reader hooked showing that this is not a normal world and not a normal fireman. Readers is intrigued and keeps reading.
Otherwise I always use the advice that I use for creating scenes which is "enter as late as possible and leave as early as you can". For example if your story is about a barman who meets a stranger who tells him he's the chosen one, you could start very early with the barman getting up, getting ready for work, showing the reader where he lives and how he gets to work" but that's not very compelling and it raises no questions or you can start late which means with the barman at work drying and stacking glasses on shelves (starting with action) and being weary of this stranger on the other side of the bar who keeps glancing at him.
In the end it's like everything else in writing it's all in the execution.