Any admins reading this, if there's anything in my post that is against the rules, feel free to edit/remove the offending content. I'm writing this response not only for the OP, but for others who are interested.
From what I've read, Legend of Dragoon is really tricky because of the copy protection Sony put into it. I've read on some forums that people had to use different emulators during different parts of the game because many of them freeze at one point or another. I suggest you read the following post from the pSX Emulator forums:
Legend of Dragoon Bug Guide I'm guessing that you are only interested in emulation on the PC, but just in case, the
POPS Compatibility List shows that Legend of Dragoon appears to play through without issue on PSP Custom Firmware version 5.00 M33-4, so I imagine it would work on the most recent M33 version (5.00 M33-6) as well. I'm not sure about other firmware versions like GEN, but it appears it didn't work on older M33 firmwares. Obviously, it won't play at all using Sony's official firmware.
As far as PS1 emulators, it seems that the most popular ones are ePSXe and pSX. I couldn't ever get ePSXe to work properly with my computer. Since a link to ePSXe appears to have already been posted, here's one to pSX:
psxemulator.gazaxian.com There's a link to its compatibility list at the bottom of the page.
One thing to keep in mind when comparing emulators is whether they were designed to enhance games' sound and appearance via plugins or they were designed to accurately emulate the original system. ePSXe uses plugins to improve the game, so it'll look and possibly sound much crisper on your computer than on a real PlayStation, but only if your computer can handle it. pSX, on the other hand, focuses on looking and sounding as close to a real PlayStation as possible. The nice thing about this is that it doesn't need much to run, requires almost no configuration setup and it works with a lot of games.
I don't know anything about PS2 emulataion unfortunately, but I believe that there is an emulator out that uses plugins made by the same guy that made most of the plugins for ePSXe.
To get ISOs for games you already have, I recommend using a CD ripping program (I use MagicISO) to rip the game. I'm not sure about ePSXe, but pSX can mount ISO, BIN and IMG format images without the need of programs like DaemonTools, and it is able to open files saved in ePSXe's card format. I found this out because CWCheat on the PSP is the only way I could find to transfer my FFVII game file from my PSP to my computer when the game was freezing during videos, and it saved in the ePSXe format.
If you are looking for ISOs for games you don't own (for shame...) you might want to try NitroRoms or Zophar's Domain (I'm not posting links because I don't know if it would be against the forum rules.) NitroRoms hosts their files on Chinese servers, so if you're worried about accessing Chinese servers, don't go there. Zophar's Domain is a little more difficult to find their PlayStation ISOs, because the list can't be accessed from links on the site itself. I found it by accident doing an internet search. While not related to the topic of this post, I think I should mention that Zophar's Domain also has a lot of music files ripped from games for many consoles.
Have fun.
Edited, Mar 8th 2009 11:24pm by LadyOfHolyDarkness