Going from best to worst place to end up-
1. The Isle of the Blessed. The Isle of the Blessed is hard to achieve. Demigods and heroes would get a free pass, but mortals would have to be reincarnated 3 times, achieving the next place all three times.
2. Elysium. Elysium is for extremely good people who accomplished great things in their lifetime. When someone goes there, they have the option to stay there or to be reincarnated and try 3 times in a row.
3. Asphodel Meadows/Fields. Basically where your average joe ends up. They didn't accomplish great things nor were they a serial killer, just your average McDonald's worker and such. Probably the most filled place.
4. The Mourning Fields. The Mourning Fields are where people who spend their whole lives pursuing unrequited love remain. From what I have read, I don't know about what kind of place it is, I assume something like the Asphodel Meadows, not good nor bad.
5. Tartarus. Probably the most well-known place in the Greek underworld. Hell, basically. usually accompanied by some sort of cruel punishment, rolling a rock up a hill for eternity, being unable to eat or drink while having lakes and fruits and foods surround you, etc.