So i never played the original BB but since this is a re make was the original game actually completed and also was it just a NTR game or harem?
Not completed. It was abandoned at some point.
Also in the original there was Eric and it was the main goal to kick him from the house (on war path, I think there was also sharing up to a certain extend on a different path). Olivia initially had a boyfriend, who Lisa wanted to hook up with, but he was removed from the game before anything happened. Alice had a girlfriend, who's mom could be asked for help to deal with Eric.
The dev listened to every whiner in his fan base and at some point added a storyline where Ann would be lead to go into porn business, with Kira and Max joining, later also Alice. Kira would give Max and Lisa sex lessions, Ann was nothing else than a sex toy and stupid as they come "But son, I am such a bad mother. You should not have to do porn with me!".
At that point the game was abandoned, it became all too stupid.
Fans created a rather large mod that put a lot of fan mod pics into an extended storyline.
BIBOAS follows the same basic direction, but is implemented way better, the relationship progress feels a lot more natural. Also Alice's friend is missing, but Kira's coworker should join the cast at some point.
Edit:
Still the game made a huge impact and influenced many following games.
About NTR: That question back then was not asked. No one used that term back then. The games were what the creators made of them, there was no faction that kept yelling "only the MC can fuck" and no other faction that countered "are you not man enough to share?"
Also there were WAY less visual novel porn games around, most of them were manga style and/or japanese style RPGs, you got what you got.
I myself enjoyed playing AIF text adventures (check "Moist", "Sam Shooter" and "British Fox", "Camp Windy Lake"), which I still find to be much more creative than the games we get today. But since everything has to be visualized, it also limits the amount of options a game can offer.