Anime doesn't conform 100% to the cliches that you seem to imply. I don't know what anime you watch, but it certainly doesn't seem to be very broad. I am genuinely curious as to how someone could form such a strong opinion based on what seems like such poor justification. So I repeat, please clarify exactly what tropes make DMC3&4 "anime-like," and make sure that said tropes aren't also commonly found in other forms of animation since you singled "anime" out entirely.
I'll give that explanation.
First;
Romance
Now I've seen some Romance in anime before. Some done good others done bad. However DMC4 is that cheesy anime romance to a T. There was no real development of their love except "Oh they're together now. Done." When I see two people in love at least show more of it instead of having awkward silences between each other. God, at least be like Moka and Tsukune from Rosario and look into each others eyes, repeating each others names for hours. And at the end, Kyrie just excepted Nero and that was it. Now I know there should be more to it. I mean Nero did beat up her brother, and if it wasn't for Nero, Kyrie wouldn't have been captured like she did. But nope, she's just like "Oh I don't care, as long as I can be with you." Really? So you just accept him with no question at all? It's like Twilight a little. Except Bella actually had more character. Even so, it's still an anime trope.
The clothes
I know that fashion is subjective and its changing everyday, but you can sit there and tell me that their clothes aren't from anime, cause then I'd say "I don't think so". Nero's attire is that of the fashionable hoodie under the coat look which has been done many a times before in anime, but oh look! He wears a long coat now! Ho, I'm sure no one in anime ever wears long coats! Right?! Wrong. Now going down the line, Kyrie's clothes are something I'd see back in the 1800s or so, and so is Credos uniform and the others as well. But Lady, Trish, and Dante are a different story. Lady's outfit is the total anime trope of dressing less for more. As in wearing less clothes and showing more skin to get more fanboys. Trish was actually dressed modestly, but even so that didn't stop the troping of anime women in leather. And then there's Dante. I don't even need to talk about Dante, cause the proof is right there.
Music
I know I shouldn't judge the gender of music and it's not like there were japanese vocals in DMC4, but the music really tuned down from it's loud and in your face power that DMC3 had. It sort of toned itself down to a more anime like vibe with it's battle music and the rest of its music in fact. Though I did like standard daytime. That was chill. Anywho, I like anime ost, but you gotta admit some of DMC4's music was something anime themed.
Lines
This one was a no brainier that this game was anime based. Most of the lines were definitely anime based. Most lines in anime take from western movies and every now and then from older movies as well. Here's a few I found.
- "Audios, kid."
-"So much for a small banter."
-"Fire's bad for the complexion. I burn easily and get a tan."
-"Now that's a solid performance from an old fart like you."
-"Baby yeah!"
-"Nice!"
-"Sweet!"
There are others, but you get my point. They just don't take that extra mile with their lines and stay in the anime genre-type with no actual edge to at least say a "F*ck you" or speak in a more western dialect to really get me to believe that these characters aren't really just Japanese anime characters with American names.
All in All
People can try to deny it all they want, but in the end, DMC4 is anime styled. If you go to anime sites, DMC4 will be there. If you go to Minitokyo, DMC will be there more then DmC because DMC is more anime based. If you go to zero-chan DMC4 will be there, why? Because it's close to anime styled.