EASA requirements: -
(A) pre-take-off checks;
(B) into wind take-off;
(C) safeguarding the nose wheel;
(D) crosswind take-off;
(E) drills during and after take-off;
(F) short take-off and soft field procedure/techniques including performance calculations;
(G) noise abatement procedures.
Additional reading
FAA Airplane Flying Manual
Disclaimer: The material presented in these YouTube videos should not be used in place of actual ground or flight instruction. Consult a certified flight instructor before attempting to conduct any flight maneuvers.
The following training videos supplement the flight training syllabus in the Flying Training Manual
Circuit Introduction

Circuit Considerations

Vacating & Joining the Circuit

Exercise 12 ✈︎ Part 1 ✈︎ Takeoff, Landing and Circuit Training (Re-edit)
Normal & Crosswind Takeoff and Climb ✈︎ Level 1
Soft-field Takeoff and Climb ✈︎ Level 2
Short-field Takeoff and Maximum Performance Climb ✈︎ Level 2
How to enter the traffic pattern at a non-towered airport