Robert Smith

Smith can be seen playing a Roland RS-09 in a photo on this site.

In this article it states that The Cure used the ARP Solina String Ensemble extensively throughout their career as well as this interview where drummer and keyboardist Lol Tolhurst says how he uses it http://www.musicfanclubs.org/cure/press/I15.html

According to VSE, The Cure used a Minikorg 700 in the early days on records like '17 Seconds', and this 1981 clip of them performing 'A Forest' would seem to confirm this assertion. It's actually bass player Simon at the controls for the start, but I'll put it under Robert Smith as representative of 'The Cure'.

The clip is a bit blurry, but judging by the size of the instrument, the wooden end cheeks and the position of the control panel and big knob to the left, I think it's a Korg 700s.

http://www.vintagesynth.com/korg/mini700s.php

In a June 1984 article in International Musician and Recording World on the last page he states he owns one of the synths. He complains that Roland will not give them any discount so the hide them on tour and he does not like to mention them!

Smith can be seen playing a Korg 800DV in a photo on this site.

This is a video of The Glove, Robert's side project with bassist Steve Severin of the Banshees. They can clearly be seen using a Roland SH-101 in this video. I don't know if it belongs to Smith, but he clearly must have used one at some point.

This article from Sound On Sound's June 1996 issue lists the Emulator II as being among Robert's synths during the recording of their album Wild Mood Swings.