Mick Jones

At 7:44 he can be clearly seen playing a Les Paul Junior Doublecut. Typical punk guitar.

"This tele, and especially the thinline one, is perfect for me"

Jones can be seen playing an ebony Gibson Les Paul in this photo.

Here's Mick on Fender's Youtube channel talking about how the telecaster is the only guitar he'll ever need! (2011). Seems to have been playing this telecaster exclusively in his band Carbon/Silicon (formed 1992.)

I'm pretty sure that Mick used his Bond Electraglide throughout Big Audio Dynamite and BAD II and Big Audio. He can be seen playing it in most of their music videos: 'The Bottom Line' from their first album (1984), the 'Rush' video (1991) and 'I turned out a punk (1995). I can vouch for seeing Mick use the Bond live in concert 1989-1992.

He also plays it in the video for 'Good Morning Britain' by Aztec Camera (1990).

at 0:45 of this video you can see mick jones using a fender stratocaster

According to a Premier Guitar article, Jones was given a "late 70s" all-black stratocaster with a maple neck by Fender (Paul Simonon was also given a Precision bass). He apparently favoured using the strat in the studio. I don't believe I've ever seen a photo of Mick playing this particular guitar, possibly because Fender-sponsored David Gilmour was playing one around the same time.

Mick plays a Melody Maker during a live performance with the Libertines (whose album he produced) at the 2004 Rock Against Racism concert. The guitar likely belongs to Carl Barat.

Youremyguitarhero's excellent page on Mick's gear points out that he is seen playing a Gordon Smith at early Clash shows. The picture in that article appears to be a single cutaway Les Paul Jr-style guitar by Gordon Smith.

Not sure if he played it on the track 'Long Island', but the video has a great photo of him playing a vintage ES-140.

youremyguitarhero's page on Mick's gear details a double cutaway Les Paul Jr-style guitar made by Scottish guitar-maker Andrew Bond. Mick played the guitar at The Clash's final show. Jones would later go on to play a Bond Electraglide throughout Big Audio Dynamite/Big Audio/BAD II.

In the "London Calling" video, Mick Jones is seen playing a Gibson ES-175 Electric Guitar.

Mick played one of these in a BBC session for Carbon/Silicon in 2005.

In the video "Mick Jones - Train in Vain" by Isabela Cordaro, Mick Jones can be seen playing a Fender American Professional Telecaster. The guitar appears new and features the distinctive silver 'spaghetti' Fender logo.

Mick played a '58 Les Paul during 1978, and likely used it while recording 'Give Em Enough Rope'. He can be seen playing it extensively in the Clash movie 'Rude Boy' along with his black Les Paul. Jones is photographed playing the '58 in Sid Vicious' backing band at Max's Kansas in 1978. Most notably the guitar can be seen in the 'Tommy Gun' music video.

(note - the image attached is likely a re-issue of the '58, rather than an original)

The Premier Guitar article and youremyguitarhero both reckon Mick's guitar from the London Calling music video is a rate all-white Gibson ES-295.

Mick plays a white V223 Vox Mark XII in the music video for Big Audio Dynamite's 'Contact' (1989).