In Sonic Runners Adventure there are four stages in total and they are referred to in the game as Chapters. Each Chapter is split into nine obligatory levels, two optional levels, and one boss. The obligatory levels become unlocked as you complete them but to unlock the optional levels requires that you collect a certain amount of stars. At the end of each Chapter you will encounter a boss which you will need to defeat to progresss to the next chapter. Below is a video walkthrough showing you how to beat each of the Chapters.
Part 1 - Level 1-5 Green Hill
Part 2 - Level 6-10 Green Hill
Part 3 - Level 11-15 Desert Ruin
Part 4 - Level 16 17 18 19 20 Desert Ruin
Part 5 - Level 21 22 23 24 25 Desert Ruin
Part 6 - Level 26-30 Lava Mountain
Part 7 - Level 31-35 Lava Mountain
Part 8 - Lava Mountain Boss Level
Part 9 - Level 37-41 Sky Sanctuary
Part 10 - Level 42-46 Sky Sanctuary