Liam Woodgate discusses several camera techniques he finds intriguing but challenging, including tracking shots, fast-paced editing, moving images/text in post-production, and point-of-view shots. He has experimented with some techniques in past projects but wants to improve his skills, particularly with steady tracking shots using cranes or tracks, achieving the right balance of speed in editing, making animations and movements look smooth, and capturing moving point-of-view shots to convey a first-person perspective as seen in the film "Hardcore Henry".