You can take a bus from Burbank to Venice via 17th / Broadway in around 2 h 4 min.
How to get from Burbank to Venice
From Olive / San Fernando line 94 bus to 17th / Broadway then line 733 bus to Venice / Abbot Kinney. 2 h 4 min $2. From Burbank taxi to Venice. 29 min $105. From Burbank drive to Venice. 29 min $2. From Burbank Uber to Venice. 29 min $26.