I might forget some people so tell me if I do!
The Prince: Asuka finds the Prince to be too adorable to be true. If it were anyone else saying the things the Prince says to her, she would get pissed off, but it seems that he has earned a special place in Asuka's heart. It would be very very hard to make Asuka get angry at the Prince even though she is famous for her short-temper.
B. Jenet: Asuka owes Jenet a lot! Jenet is the first person who actually offered to help her and such so even if they have only met just then, Asuka practically likes her a lot already. She regards Jenet kind of like a big sister whom she look up to (not just because Jenet saved her but also because Jenet looks like the cool woman Asuka wants to grow up to be XD).
Yaten: Let's just say that Asuka has found another person to hate just like she hated Rei back on Earth. Asuka cannot find any mistake in saying what she wants to say, so she still thinks that she is right and that Yaten is wrong. Now that Yaten is ignoring her however, Asuka feels very furious because nobody ignores Asuka. If she ever meets Yaten, Asuka will want to show off her martial arts move x)
Dark Mousy: Asuka first thought that Dark is a cool man to hang with, a relief after hanging with guys like Shinji. She was expecting him to be somewhat like Kaji, but his age creeped her out so she is rather disgusted by him, imagining a wrinkled man on a wheelchair with a constant dose of Viagra to his veins x)
Kaworu: It should be comforting to know that someone who comes from your world is also lost here in this strange place, but Asuka is more creeped out than comforted by Kaworu. She can somehow sense a weird relationship between Kaworu and Shinji and this bothered her a lot because she might like Shinji also, but she won't ever admit it. Kaworu seems to be very interesting though, despite his err strange relationship with Shinji and Asuka would like to know more about him.
Morrigan Aensland: Let's just put it this way, Asuka is creeped out by people who speak in cryptic language, or people who sound like they want to eat her x)
Lady: Being the first person who interacted with her, Asuka is rather fond of this person even though she doesn't really know her that well. Lady comments on Asuka's journal which made her feel less lonely, so Asuka quite likes her.
Roxas: Asuka finds him to be too sensitive, almost like a girl, at first impression but Asuka finds him to be rather sweet also. There aren't that many guys out there who would care as much as Roxas did for a stranger after all. Asuka is interested in meeting him, actually, he seems to be a very nice boy.
Trisana Chandler: They only had one random chat conversation but Asuka can tell that even if Tris uses English also, she doesn't really speak the same English. They had misunderstandings, what with Asuka getting Tris' hair sparky and all, but Asuka has not yet put a negative stamp on Tris. Not yet.
Vicious: He is rather too pessimistic for her liking, but Asuka thinks that he got more brain than most people here. He dares to debate with Asuka, quite well too, and so Asuka has respect for him. Even if she doesn't really agree with his points, he did present them very nicely, so the debate is truly worth the while.
Maya: After just a few days in Paixao, being the Asuka she is, Asuka has annoyed quite some people including Maya. Her too-straightforward way made Maya very angry but Asuka is not scared nor intimidated, she just doesn't really care that people hate her.
Vincent: Vincent seemed to be an interesting man to Asuka, but when she found out how he is related to Yaten, Asuka doesn't like him. At all.
Auron: She has only met him for a few minutes and she was very intimidated by him at first. He seemed like a very nice guy so far, however, offering to help her and all. He seems to be related to Jenet and The Prince also, and Asuka really likes those two people, so she really likes Auron as well.
tell me if I missed anyone!!