Can anyone please help me finding any downloadable Pokemon game/s? Thx, I really appreciate it.

I think all Pokemon games that are downloadable are roms and therefore illegal. Concluding my little 'policeman' speech: according to the rules and regulations, we're not allowed to discuss any piracy/illegal downloading games.

As link stated, unless Pokemons copyright holder releases the title, game, etc. into Public Domain officially. Any downloads would be deemed illegal. Don't be surprised if you find this topic locked down pretty soon.

Well, I guess there are some mini-games that are free. There was even some kind of free 2D Pokemon like MMORPG a while ago.

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It's allowed to download the rom IF you own the game. But since you can't proof you own it, it's better not to discuss it at all. And I don't think there are any free pokemon games out there...
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What I mean is a kind of a demo, not a full version game.

Seeing as Pokemon was a Gameboy game, and there is no such thing as a Gameboy demo game, I think you're out of luck, sorry.

But isn't there any pokemon game for PC?

yes there is. but I believe they adapted it from the consoles.