"1. You can query data in a database (ask it questions)." If you use your file system as a "database" you can ask it questions too with file paths
"2. You can look up data from a database relatively rapidly." Given that lines of text can match some problems quite well, a text file can be MUCH faster.
"3. You can relate data from two different tables together using JOINs." Denormalization makes this unnecessary.
"4. You can create meaningful reports from data in a database." I work as a data analyst and make meaningful reports from event logs all the time. To be fair, I do prefer them being in a DB usually. ;)
"5. Your data has a built-in structure to it." Just because it has a structure doesn't mean an RDBMS is the right place for it to be codified. Also let's be clear the poster of this answer is clearly referring to an RDBMS.
"6. Information of a given type is always stored only once." It's important to note, this only matters if your data is not immutable. There are many applications where this is the case, but also many where it is not.
"7. Databases are ACID." Meh. This matters but after the advent of NoSQL era I now realize this matters much less.
"8. Databases are fault-tolerant." There are tradeoffs made in this name as well. Sometimes you can do better by letting your app be fault tolerant of your data instead.
"9. Databases can handle very large data sets." Files on disk can't? No I think here a valid point would be a database can span multiple disks and make them appear cohesive. That's a very nice bonus. For 95% (worst case) of the world though, that's not a concern.
"10. Databases are concurrent; multiple users can use them at the same time without corrupting the data." Again there are tradeoffs made in the name of this in an RDBMS (like locking). Reading immutable data scales across multiple users just fine.
"11. Databases scale well." CDNs have shown that files can scale even better. Again immutability is a constraint but I think it's an interesting constraint to explore for many systems.
Just to be clear I'm not saying databases are usually the wrong choice. Not at all. Instead they're just all too often the wrong first choice. Start with files, iterate from there.