Since I was told the tests listed are too simple and hardly very reliable, I should tell what actual tests I usually perform when considering a new home for my sites/services I develop.

When the mentioned UnixBench, fio/iozone are giving acceptable values, I install Phoronix test suite and run intensive tests on all subsystems efficiency (CPU, memory, disk).

I also run some SQLite-based tests (working with a large database).