- Twitter sprang from a failed startup idea rendered obsolete by a tech giant
- Apple grew from two guys making blue boxes for grins and pranks
- The iPhone grew from Apple's experience in producing an MP3 player
- Amazon started as an online book store
There are counterexamples, but they seem more rare (the light bulb, and most of what Edison/Tesla did, for example).
The point is that it's very hard to identify good problems de novo. Instead, problems tend to come to you if you're actively working on even modestly relevant projects with an open mind.
So, you might try this: start a frivolous side project. No big commitments, no major expectations. Then follow it wherever it takes you.