Lightroom is strongest in VIRTUAL organization. You have numerous choices, among them (and not mutually exclusive):

• You can physically (on disk) organize in any way convenient; I personally prefer by date shot

• Photos can be given keywords, such as "Soccer" or "Picnic". Those
  could actually be a specific event "Family Reunion 2016" but
  generally these are best if a bit more generic. A photo can have any number of keywords, and those can be hierarchical if desired.

• Photos can be tagged with people's names (either manually or with face recognition); these can be special keywords, or regular ones (if you do it by hand).

• In addition to keywords, Photos can be tagged with large amounts of other metadata such as titles (usually short, like an event), captions (longer, contents of the shot), and a ton of other information. GPS coordinates can be included as well.

• You can build collections of images manually, e.g. when you do a
  shoot, make a collection and put all photos from that event in a
  manual collection like "XYQ Baseball Game 05/25/2016". These could then have very descriptive names.

• Related to the above, if you are publishing to a web site and use
  Lightroom, you automatically get an implicit "Published collection" with each such grouping, which may prevent the need of building a separate collection for the event.

• You can also build smart collections, automatically, by rules built
  around such data as keywords, titles, etc. For example you can build an automatic collection 'All photos with Keywords "Soccer" and "Big High School'. Because collections are virtual, a photo can be in any number of collections (including none).

Trying to use on-disk directory structure for the primary (or worse only) organization is an exercise in frustration as it does not meet all needs. With collections and other metadata based groupings you can vary by those needs.