What are the best realistic simulator type games for the PSP?

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After doing a bit of research and discovering a game called R/C Stunt Copter for the PS1, which has been documented as one of the most difficult games for the system in question, and features a very hard to master but heavily rewarding type of gameplay, it got me thinking about other simulator style games that may exist for other systems, which I would like to know more about.
I'm not just talking about vehicle simulators (though they are certainly very welcome and I am looking for those as well), but any kind of simulators that do their best to emulate something fairly complex/difficult.
And when I say "realistic", I don't necessarily mean in terms of setting, but more in terms of mechanics, I guess. I'd be happy to know of fantasy games that still kind of fit the bill of what I'm asking.
Would anyone have any suggestion for me that fit this bill?
Thank you.

submitted by /u/NeonAbomination
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