Question: Some time ago I've found a good online map for Alpine hiking trails. It was very similar to Google Maps and had green background.

I forgot the address and can't find it in google now. It wasn't myalps.net

Do you know this, or similar maps?

EDIT
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I've found this map in bookmarks on my old computer:

<http://alpenkarte.eu/>

Nevertheless the maps recommended in answers are very useful too. Thanks!

P.S.: I've been searching google 2 hours and couldn't find ANY of them. It seems like google isn't very good at indexing map websites other that their own...

Answer: 
Here you go:

* Austria: <http://www.amap.at>
* France: <http://www.geoportail.gouv.fr>
* Germany, Bavaria: <http://geoportal.bayern.de/bayernatlas> (check box "Wanderwege")
* Italy: <http://www.pcn.minambiente.it/viewer>
* Switzerland: <http://map.schweizmobil.ch> (check boxes in "Wanderland")
* World: <http://opentopomap.org>
Best Austria Alps maps are Kompass: 
<http://www.kompass.de/touren-und-regionen/touren/>

Switch layer to Summer/Winter in top right to see the details like marked trails and contours (otherwise it shows Open Street Map with less details). There are even winter ski tours there.