One of the ways I allowed for additional reading time in my classroom was doing the Lunch Bunch Book Club this year. Every Friday, students chose to come in and eat their lunch while discussing the book we were reading together. Spots were limited, so students would race to the sign up sheet each month to see the next book. I chose books from various genres to provide for different interests. This was something that my kiddos looked forward to! You can read more about this idea here.
I'm looking forward to seeing the other ways teachers foster independent reading in their classrooms! I love learning new things, and am always looking for ways to improve. I'd love to hear how you do this in your classroom!