There are a decent number of things for which I don't care if the data gets corrupted a bit over the long run. Performance is a much bigger consideration.
PostgreSQL has better performance on real-world, high-concurrency loads over multiple cores. MyISAM is slow on tables with lots of writers (table level locking). InnoDB is better, but PostgreSQL is even better. Supposedly MySQL 5.4 is going to fix this. Move into big queries with lots of joins, subqueries, using multiple indexes, and PostgreSQL starts to shine even more.
You can even turn on async commit (since 8.3), which sends a commit acknowledgement message back to the client before the transaction is fully committed, allowing sync clients to move forward. While this does allow a very small window of time where, if the power was pulled on a machine, you'd lose just that bit of data for the tenth of a second it wasn't written to disk. All the other data is safe though, unlike MyISAM's default fsync=off, which gives it all of it's "performance." PostgreSQL also has async network I/O support baked into the libpq driver, which, if the client is written properly, makes this unnecessary. Note that async commit can be set per-connection and toggled on and off.
Virtually all of the 7.x releases were focused on durability, and 8.x releases were focused on performance, culminating with 9.0, due out soon, which will bring the much-needed readable slaves. This is the final feature that will tip the scalability gap in PostgreSQL's favor.
There are is a situation where MySQL shines: read-only MyISAM tables with simple queries where joins are not used. Virtually all of the write concurrency and data integrity features as well as PostgreSQL's performance using multiple indexes and joins become unimportant at this point. MyISAM also supports compressed read-only tables, which are great for this situation. I'd have to ask myself why I wasn't using a simpler NoSQL solution at this point though.
Yeah, MySQL could definitely be improved upon. The table-level write locking is a pain. I was just saying that 100% consistency/data integrity isn't really a major concern for a lot of applications.
I've thought about switching to Postgres, but it doesn't currently appear to be worth the pain in my case.
Yeah, I know, our conversation about read performance at the cost of data integrity being OK was about MyISAM (which doesn't have great concurrent write performance due to the table-level locking).