You may end up changing your mind about her later, because there's a ton of really great characters in the original. I mean, Touch Fluffy Tail is a thing thanks to this. But there's others they haven't even mentioned by the end of part 1 that you might enjoy as well. Ilias is great though, if she's the type you're into. Don't think anyone can really compare to her as written.
As it was already pointed out, they're all on the wiki. A quick summary though would be that intermediate job items are basically all quests that need to be completed optionally, and advanced (broadly, there's a few exceptions) require you to progress far enough into the story and talk to the leaders of each nation once you'd solved their problems.
As for Luca races past homunculus and angel, he can definitely get more than that, but they're rather trying to get. Need specific characters collected and to spend time helping Promestein out, a lot.