We're good at many things here on AB but we can't change:
(a) the way that the Earth moves around the Sun ; and
(b) the distances between Luton and relevant destinations.
Putting those two considerations together means that, in order to find much sunshine, you'll need to extend your journey time to around 4½ hours to get to the Canary Islands or even longer to get to Egypt. No European destination will be particularly warm around that time of year.
Southern Spain, Sicily and Malta (which are all around 3 hours from Luton) will all be 'pleasant' in January but they certainly won't be 'hot'.
See here to view destinations served from Luton. (Clicking on each one shows the journey time). Remember that you need to head as far south as possible to find warm sunshine in mid-winter:
http://www.london-luton.co.uk/en/destinationmap/