Here's a quick summary of the systems we have in service at the moment (all info is sourced from Wikipedia):
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STARSTREAK

Starstreak is a British short range man-portable air-defense system (MANPADS) manufactured by Thales Air Defence (formerly Shorts Missile Systems) in Belfast. It is also known as Starstreak HVM (High Velocity Missile). After launch, the missile accelerates to more than Mach 4, making it the fastest short-range surface-to-air missile in the world. It then launches three laser beam riding submunitions, increasing the likelihood of a successful hit on the target. Starstreak has been in service with the British Army since 1997. In 2012, Thales rebranded the system under the ForceSHIELD banner.
Specifications:
Weight: 14.00 kg (30.86 lb)
Length: 1.397 m (4 ft 7 in)
Diameter: 13 cm (5.1 in)
Crew: 1
Effective firing range: 0.3–7 km (0.19–4.35 mi)
Warhead: Three explosive sub-munitions ("darts")
Warhead weight: 0.9 kg (2 lb)
Detonation mechanism: Impact Delay
Engine: Royal Ordnance 'Brambling' cast double-based propellant blip rocket motor (first stage), Royal Ordnance 'Titus' cast double-based propellant (second stage)
Speed: >Mach 4 (at second stage burnout)
Guidance system: SACLOS and SALH system
Variants:
LML: Fired from a Lightweight Multiple Launcher (LML) that holds three missiles ready for firing and can be used as either a stationary launch unit or mounted on a light vehicle such as a Land Rover or HMMWV (Humvee). The LML originated in a proposal under the Army Suggestions Scheme for the Javelin system.
SP HVM: Carried on an Alvis Stormer AFV with a roof mounted eight round launcher with internal stowage for a further 12 missiles.
And there's a shoulder-launched variant which the Royal Marines were seen using in November 2014.
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RAPIER

Rapier is a British surface-to-air missile developed for the British Army and Royal Air Force. Entering service in 1971, it eventually replaced all other anti-aircraft weapons in Army service; guns for low-altitude targets and Thunderbird used against longer-range and higher-altitude targets. As the expected air threat moved from medium-altitude strategic missions to low-altitude strikes, the fast reaction time and high maneuverability of the Rapier made it more formidable than either of these weapons, replacing most of them by 1977. It remains the UK's primary air-defence weapon after almost 35 years of service, and its deployment is expected to continue until 2020.
Specifications:
Weight: 45 kg
Length: 2.235 m
Diameter: 0.133 m
Warhead: Blast fragmentation explosive close proximity warhead
Detonation mechanism: Proximity triggered chemical fuse
Engine: solid-fuel rocket
Wingspan: 0.138 m
Operational range: 400 – 8,200 m
Flight ceiling: 3,000 m
Speed: Mach 2.5 (3,062.6 km/h; 1,903.0 mph; 0.85073 km/s)
Guidance system: Semi-automatic command to line of sight
Steering system: flight control surface
Launch platform: vehicle or trailer
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And Rapier's replacement...
FUTURE LOCAL AREA DEFENCE SYSTEM / LAND CEPTOR

CAMM(L) (aka "Land Ceptor") is the land-based variant of CAMM and will replace the Rapier missile batteries of the British Army from 2020. Four three-pack launchers are fitted to a self-contained "pallet" that can be fitted to a range of trucks. The launch vehicle will not have its own radar, instead taking targeting information over a secure datalink as part of an integrated air-defence network and using the active seeker head for terminal guidance.
Specifications:
Weight: 99 kg
Length: 3.2 m
Diameter: 166 mm
Warhead: Directed fragmentation
Detonation mechanism: Contact or proximity
Engine: Solid-fuel rocket motor
Operational range: <1–25+ km
Speed: Mach 3 (1,020 m/s)
Guidance system: Two way data link, Active RF seeker
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And finally, here are some videos for you to enjoy: