Using ALL areas of the garden.

Good afternoon everyone, 
I have a small area of garden between my greenhouse and a lap fence, about 2 foot (or is that feet)? wide and 14 feet long, it's the end of a path and orientated ENE and WSW.

The Sun comes through the greenhouse glass early morning and stays untill 4pm at this time of year.         I have a few builders buckets that can go there and I was thinking of melons or indeterminate tomatoes  what other veg' that do not grow too 'wide' ?

Over to you good people.  Cheers,  Tony.