WARNING: CUTENESS OVERLOAD AHEAD:

https://www.youtube.com/watch?v=1dJpdPyQtww

Here is the translation

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Just to be sure, once you watch/read this, there is no turning back.

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Translation:

Madoka: This is my house.

Homura: Indeed.

Homura: What with your father’s careful management of your vegetable garden and the excellent repair of the building, it truly is an excellent home.

Madoka: Y-you sure know a lot about it.

Homura: Anyway, is it alright for me to visit right now?

Madoka: Of course! Come on in!

Madoka: I’m home!

Homura: Hello.

Madoka: I guess they’re out shopping? Want to have a bath before dinner?

Homura: Huh? Sure…

Homura: Madoka, you go ahead first. I can wait…

Madoka: Don’t be silly. Let’s bathe together!

Homura: Huh!? T-together?

Madoka: Ehehe. Just kidding!

Homura: Madoka…

[scene change to bed]

Homura: Hey, Madoka, are you still awake?

Madoka: Yeah. Sleeping in the same bed is a bit embarrassing, huh.

Homura: That’s why I offered to sleep on the floor…

Madoka: No, this is nice. Plus, you’re so warm.

Homura: So are you, Madoka.

Madoka: [laughs]

Homura: Why did you invite me to spend the night?

Madoka: When you told me you lived alone, you seemed so lonely.

Homura: I… seemed lonely?

Madoka: And so I kind of wanted to spend a lot of talking with you.

Homura: Madoka… Um, thank you.

Madoka: You shouldn’t thank me for that.

Madoka: I’m so happy just spending time with you.

Homura: Me too.

Madoka: Can I sleep over at your place next time?

Homura: S-sure. There’s not much there, but if you’re okay with that…

Madoka: That’s not true. You’re there.

Homura: Madoka…

Madoka: I’m kind of tired now.

Homura: Me too. I think I’ll get a good sleep tonight.

Madoka: Alright, I’m going to switch off the lights. Good night, Homura-chan.

Homura: Good night, Madoka.

[You have earned a trophy!]
[Achievement Unlocked: "My (other) best friend"]

last edited at Dec 31, 2013 2:20AM

http://www.nicovideo.jp/watch/sm22568063

From the last event in this video (Starts at 10:35):
SAYAKA: Homura, that you? Good morning.
HOMURA: Good morning, Sayaka.
SAYAKA: So you pass by this street too? I never knew.
HOMURA: I've seen you several times.
SAYAKA: Huh, really? Say something next time, alright?
HOMURA: I'll consider it.
HOMURA: ...
SAYAKA: ...
SAYAKA: Homura, say something.
HOMURA: Why?
SAYAKA: Aren't friends supposed to have fun conversations while they walk to school!?
HOMURA: True.
SAYAKA: ...
HOMURA ...
SAYAKA: Come on! Talk, talk!
HOMURA: ...
SAYAKA: Sigh... well, should I try to find something we have in common?
HOMURA: Madoka-
SAYAKA: Huh?
HOMURA: She's kind to everyone. She's a wonderful person who's very considerate to her friends.
HOMURA: She always takes what I say seriously, and acts accordingly.
HOMURA: The depths to her compassion are-
SAYAKA: Wa- wait a minute, Homura. What are you talking about?
HOMURA: Madoka, of course.
SAYAKA: A- aren't you idealizing her a bit?
HOMURA: Absolutely not. You surely know of her greatness as well, Sayaka.
HOMURA: Madoka's famed for being kind to even animals-
SAYAKA: That's enough! Let's just go quietly, okay!?

https://www.youtube.com/watch?v=w2h6-t7HPs8

List of each character pair's relationship at max level!

Mado/Saya: ”運命共同体” -- "Those With a Shared Destiny"
Mado/Mami: "大好きな人" -- "Loved Person"*
Mado/Kyou: "憧れの存在” -- "A Yearned-for Existence"
Mado/Homu: "運命の人" -- "Person of Fate"
Saya/Mami: "背中を守る者" -- "The One Who's Got Your Back"
Saya/Kyou: "相思相愛" -- "Mutual Love"(!)
Saya/Homu: "認め合った仲" -- "Mutually Recognized Friendship"
Mami/Homu: "共に進む戦友" -- "Comrades Who Push Forward Together"
Mami/Kyou: "心許せる存在" -- "An Existence of Trust"
Kyou/Homu: "最後の切り札" -- "The Final Trump Card"

*it should be noted that Mami straight-up asks Madoka out on a date. Not "let's go somewhere together" or anything more vague like that, but she directly uses the word "date", complete with Madoka giving her the "but we're both girls" excuse. And during said date, Mami tells Madoka that the way she feels about her is a secret. This could very well be the most strongly-suggested pair in the game.

I wish for this game to be localized.

Madoka Magica: The Battle Pentagram -- Madoka/Mami Max Relationship Scene (English Annotations)
https://www.youtube.com/watch?v=z2J3BtYvVbM