I loved The Wind Rises (Kaze tachinu), please recommend other anime I might like

Just look for anything by Hayao Miyazaki.

I like very much Ponyo On The Cliff, Totoro (great for watching with kids but very smart one too)

Nausicaa Valley Of The Wind, Howl's Moving Castle (one of my first anime thanks to which i like that genre), Afro Samurai

Cowboy Bepop series are considered as legendary too

Check out Satoshi Kon's (RIP) movies: Tokyo Godfathers, Paprika, Millenium Actress,...

If you want more action-y stuff, there's always the classics, Akira, Ninja Scroll, Ghost in The Shell

Try finding Metropolis.

Just look for anything made by Studio Ghibli, they made Spirited Away and The Wind Rises.
Here's a page of great anime films.

Grave of the Fireflies, She and Her Cat, Voices of a Distant Star... All amazing anime's I loved.
Edit- I forgot to add in Appleseed.

Thanks to you, just watched The Secret World of Arrietty which was dusting for about half year at my shelf. It was fantastic, i can recommend this too

I watched Kaze Tachinu last week too by chance, and since I also liked it a lot, here's a few other films I've seen in the past that were kinda in the same vein: Makoto Shinkai his works, especially 5 cm per second, Beyond the Clouds and The Garden of Words; Colorful, The girl who leapt through time and Wolf Children: Ame no Yuki. Obviously you have Miyazaki his other works too, but that goes without saying. One recommendation I would personally make it to watch all of them subbed, call it a personal preference, but I think the original version is best seen in almost all cases. Other than that, I think the AnoHana TVseries may have gotten a movie that shows the story from a different perspective and should still be a good watch without having seen the series, so if that's the case you may want to look into that one too.