I type Katniss Everdeen from Hunger Games as SLI. She's sometimes typed as LSI or even SLE but I disagree.
Mikasa Ackermann from Attack on Titan is another example. Often typed LSI but I think when it comes to fiction the difference between LSI and SLI is that LSI are people of systems/principles/plans + vision/goal (Batman) and SLI are people of craft + morals (Fi-HA). Often it's the hidden agenda that forces the protagonist to start the journey while the ego-functions give him a set of skills to survive it and Katniss fits this view well imo.