Inter alia:

Caritas; Centre social protestant; Emmaus; Army du Salut (SalvationArmy);  Geneva Red Cross Society ‘Vet’ shops;  etc.  Also, Aux Trésors retrouvés (shop in rue de Zurich helping the Women’s Shelter called «Au Cœur des Grottes»).

R. 

In many areas of Geneva, there are community boxes that collect cloths, you just open a door, and drop the cloths in. called 'Recycler les textiles', Boites a fringues, Boite vetement. There are over 75 in Geneva city.

http://www.ville-geneve.ch/themes/environnement-urbain-espaces-verts/proprete-recyclage/recyclage-dechets-menagers/textiles/

A recycling map: https://recycling-map.ch/fr/

https://recycling-map.ch/fr/carte/?q/1201%20Gen%C3%A8ve

a bit infomation , but in Français

http://www.tdg.ch/geneve/faits-divers/Geneve-va-installer-des-boites-a-fringues-plus-robustes-modele-Annecy/story/12448922

Also Caritas takes cloths

http://www.caritasge.ch/p107001161.html

Thanks for the help :-)