Run, Lola, Run has benefited from amazing amounts of editing (IMDB’s Trivia quotes an average shot length of 2.7 seconds), and the movie employs numerous filming techniques, from hand-held cameras to animation.
The theme of re-living a scenario until you get it right was explored better by Groundhog Day. Chaos theory was treated very well in The Butterfly Effect. Other cinephiles claim that the movie is less worth watching than Sliding Doors or Go!.
Ethically, the movie’s main characters are two crooks. Manni smuggles diamonds and is capable of forgetting a bag of money in the subway, and Lola robs her father at gunpoint. Both get killed in the first two scenarios, and survive in the third not because they did the right thing, but because they didn’t get the change to rob anyone.
Finally, we don’t know anything more about these characters. The same holds for the 30-second snapshots of the future lives of people Lola interacts with: they have very different futures apparently totally unrelated to their interaction with Lola. But then again, isn’t this the gist of the butterfly effect?