I’ve seen people with the idea of Obi-Wan carrying Qui-Gon’s lightsaber throughout Episode II as a sort of way to strengthen its connection to Episode I.
What if Qui-Gon’s saber was actually the same saber that Obi-Wan would use for the rest of his life? This would really strengthen the connection between the Prequels and the Original Trilogy. I would also remove nearly every moment that a lightsaber is destroyed in the prequels; this happens way too often and diminishes the cinematic importance of the weapon.