A Brand New Day is a long mod where Monika doesn't kill the other girls and MC, who is starting to remembering his past lives (similar to The Good Ending), tries to save all the girls from their various problems. I would recommend the mod. Pros:
MC is a lot more of a real character in this mod. Instead of being a maximum blank slate with no traits, he's become a lot more bold and outgoing in his attempts to woo the girls, and it's pretty funny at times. He actually manages to romance all of them at once...
The mod in general is really funny. Not only is the dialogue different in subtle and funny ways due to MC's new personality, but there are some great memes that had me laughing out loud.
Despite the above, it doesn't skimp on the serious plot. There's still a threatening opposition, and unsolved mysteries that seem promising (the game ends with a "to be continued" screen).
Of course, the mod has its fair share of problems. Here are some criticisms:
The intense statism of the scene where Yuri offers everyone wine at the club, but Monika says no, not because they don't want it, but because they're "underage", and she even commands MC to take the bottle and throw it away. Do the mod authors not realize how bullshit that is? Refusing to break the law is one thing, but stealing and destroying someone else's property? Thankfully, the mod sabotages its own messed up moral by having MC only pretend to throw the bottle away, and later get it out and share it when they all go to his house. He manages to convince Monika to allow it this time by arguing that since they've relived the events of the game so many times, their "real" age is probably around 21 or 22. Still, it's a big problem that no one ever called Monika out for trying to destroy Yuri's property (not even Yuri). What she did in that scene was downright evil.
The scene where MC finds Yuri cutting in the hallway and she punches him in the face and knocks him out is a little sexist. Not only because this was unprovoked physical assault (somewhat defensible because with MC's new personality it's believable that he wasn't mad), but also the thought that she acutally knocks him out with just one punch. I'm pretty sure that's nearly impossible to do in real life.
The portrayal of Sayori was inaccurate and insulting. In the base game her depression stems from feeling that she is a burden on MC and her other friends, but in the mod she doesn't seem to have any problem with making herself more of a burden, like when she steals his wine (see below), or orders an absurd amount of food when MC takes the girls out for dessert and pays for all of it.
In the scene where MC shares the wine with everyone, Sayori drinks his entire glass while he's reading the bottle and then Natsuki and Monika drink the rest of it before he can pour himself a refill (I know, the logistics of the scene were far from realistic). They have no right to do that, especially after everything he's done for all of them throughout the rest of the mod.
MC was wrong to lie to his friends for the majority of the mod. While he does eventually reveal the truth, it's only after they start to remember it on their own, so overall the mod still sends the message that it's okay to lie to one's friends if you think the truth would hurt them or that they don't "need to know". And even then he leaves out the part that villifies Monika. While that's a little more justifiable since there's a risk that the other girls wouldn't forgive Monika and might even try to take revenge on her when they really all need to be working together, still, trust is a really important part of friendship.
When MC goes to fight Natsuki's dad, Sayori and Natsuki both should have been there to help him, but instead they leave him on his own, insinuating the idea that girls are no good for fighting. While it may be true that girls tend to have less physical strength than boys, it is by no means such a big gap that they shouldn't even bother helping - that's just sexist.
Both times MC stops Yuri's suicide, he takes her knife - which makes sense - but then he never gives either of them back. Granted, Yuri never asks about it, but still, the implication that he plans to actually steal her property is disturbing. It's not like he could actually stop her from killing herself just by confiscating all of her knives, anyway.