After watching the film again I remembered a book I have 'Tales from Outer Suburbia' by Australian Illustrator Shaun Tan. There is a short story in this book that I find very similar to 'Flogging Molly's Float'.
'Eric' is about a curious little stick figure who collects things he finds on the ground. The character design is also similar. There is a moment in 'Flogging Molly's Float' when the character is looking at a leaf, the silohette between the two characters is mirrored here:
Another of the short stories in 'Tales from Outer Suburbia' - 'Stick Figures' - has a similar look and design also: