Hi!Yes, I'm aware of the tag. But it didn't tag some of the titles like 4s1g4n

Umineko no Naku Koro ni which has the element I mean.

Versions of the same world. Like parallel universes in

Mirai Nikki . Or the changeable "loops" like ! Umineko and ! Higurashi . Or like the worlds in 11eyes. Character-1 dies in world 2 while character-3 takes their place. Someone creates a parallel world using their imagination in order to have a perfect life. This sort of thing. I want more of it, please. I know it's vague. ^__^ Bear with me, please, this is the best way I have of describing it.

well, thats kind of hard to get... Kurogane no Linebarrel does have it...

Route 225 is something in these lines, but it's extremely puzzling.

Steins;Gate
It's a really good visual novel about time travel and there are different world kinda things. It was made into manga and anime too, but I think the manga is not scanlated yet... so you could try the anime. It's a masterpiece.

Definitely Tsubasa: Reservoir Chronicle

Not sure, but maybe you could try Oyayubihime Infinity ...

It's about the past, which is unfolded step by step and from different angles. The characters actually are only able to catch a glimpse and in some cases things doesn't match. So, it's like there are different versions of the past - bound to the memories of the reincarnated ...

... or Reset, which storyline deals with the thin line between the actual and virtual reality.

"It's like love is a bonus in your life. Even without it, I'm just fine. I don't feel like pointlessly searching for it. You don't have to make yourself unhappy." (Ookami Shoujo to Kuro Ouji)

"Why does it rain?" - "To create drama." (Drops (Andou Yuki))

You'll definitely like "Layers" http://mangaupdates.sitesdebloques.com/series.html?id=65756

I think it fits what you're describing and is really good 😉

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Thanks! I'm reading Layers right now, it's so cool. Tsubasa: Reservoir Chronicle is next.

I'm open to more suggestions. ^__^

Well:

Puella magi Madoka magika

Super Robot Taisen OG - The Inspector - Record of ATX

Has some characters from a parallel world.

Thanks! Gimme more please ^____^

Monochrome Factor
Enigma

Psyren maybe....

The main charaters travel back and forth through time and parallel "worlds" or "time lines" are created.

Oh! and Kaibutsu Oujo often has parallel worlds in it.

Slaughter can't be spelled without Laughter

Fairy Tail might be something your looking for. I don't know if it is, but give it a try.

There is a parallel universe arc that last for 20 or so episodes. This arc does not happen till episode 30 or so.