Container depth

[rainbox]

I've got hold of some very nice wooden wine boxes, but they are all quite shallow (7/8 inches). I was wondering what I can grow in them, because I read somewhere that all containers should be at least a foot deep. Would lettuce and herbs work? And I've heard conflicting things about tomatoes, do their roots grow downwards or spread out sideways?

Please help, as it would be a shame not to use any of these boxes as they are very nice and I have loads of them now!

What I'm planning to grow:
Tomatoes - Red Robin, Gardeners Delight & Millefleur
Cucumber - Crystal Lemon
Sweet Peppers - Sunnybrook
Aubergines - Diamond
Alpine Strawberries
Carrots - Paris Market
Rainbow Chard
Pea - Sugar Bon
Lettuce
Potatoes - Anya
Onions
Garlic
Various herbs

and flowers:

Nasturtiums
Brugmansia Arborea

[rainbox]

Oops. Just ignore this as it's already posted somewhere else.