I don’t know if I can come up with a game where none of the available heroines love the character from the start. At the very least, there’s probably going to be a childhood friend or non-blood related sister thrown into the mix. English only is kind of an issue as well, but I think I can name something.
On the JAST side of things:-
Tokimeki Check-In! (available as a hard copy or DL, rather cheap, like $15 or so, it’s an older one, but it’s definitely one of my favorites.) Basically you’re the manager in training of your family’s resort, and the game chronicles one particular weekend. (ie 3 days) The stories for each individual character are rather well done, although as with any game some routes are stronger than others, there’s 2-3 scenes per girl and there are a ton of endings. You really can’t go wrong with this for $15.
Yume Miru Kusuri- This is a rather strong game on the english side of things. 3 different girls, 3 completely different stories, and the main character (at the start) is basically going through life without getting close to ANYONE. Therefore, none of these girls really know he exists, and to be quite honest, he doesn’t know them either. Well, there’s some backstory between 1 girl and the protagonist, but it’s no-where near a romantic interlude. It’s got bits and pieces of basically EVERY genre out there, but it all comes together very well.
From the Mangagamer side of things:
Edelweiss comes to mind first. (Probably because I’m playing through Groover’s Green-Green series, & Edelweiss is basically Green-Green V2.0)
Basically, an all female alchemical school is deciding to make the move to being co-ed, and somehow the protagonist and his group of (hilariously stupid and undersexed) friends are part of the first co-ed classes there. There’s mild fanservice throughout the first half of the game, and not many decisions points through the game, so it’s rather easy to lock onto a particular heroine and follow the route. If you like ecchi humor and punkish music, along with some drama/tragedy thrown into the mix for good measure, this is definitely one to look into. HOWEVER…as of right now, the translation is ABSOLUTELY GOD AWFUL. The good news is that it’s being patched. The bad news is that it is NOT AVAILABLE yet. I’d label this one as a sit and wait for the patch, or if you absolutely need some Edelweiss in your system, pick up the Eden Fantasia fandisc, also available from them. The fan disk came out recently (ie, after they hired proofers and native english speakers to translate.)
Kira-Kira is the second game that comes to mind from them. Made by the same company (Overdrive) as Edelweiss, this game involves a supposedly one shot high school punk band making a splash on the indie scene and touring around Japan playing live shows. I believe there are only 4 decisions in the entirety of the game, so it’s waaaaaay more VN than ADV, but once again, this is another game where no girl is just “in love” with the main character. If you like the manga/anime Beck- Mongolian Chop Squad, you will love Kira-Kira. If you like comedy, punk music, or have any interest in indie music, you will appreciate it. The heroines all have specific stories to themselves in the later chapters, and they are all solid. I believe This is really the only game I can think of where the people I know are split between the heroines they prefer, usually with games we can agree on which route was strongest, with Kira-Kira, not so much.
Ok, there’s 4. I think I wrote more than I meant to, but I didn’t just want to list titles and go HERE! BUY THESE! NAO. 

yes have of course played galaxy angel and is a great fan of the franchise