Bush beans do not need a trellis, but pole beans do. Bush beans need to have succession planting, as they only bear for a couple of weeks (however you can cut them back at this time and get another crop), but pole beans can be planted once and will bear a harvest the entire season if kept picked.

I think EG grows his zucchini on a trellis, but I never have.

I'd put the strawberries in a bed of their own, as they will grow and bear for several years.

Peppers don't vine, but they do well with a stake or small tomato cage, as they can get quite heavy and topple or break.

Granny

Here is a link that might be useful: Annie's Kitchen Garden

Cuccumbers do great grown vertically.

Here are mine growing in a home made self watering container

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Pole beans and peas do well up up and away

I second peas and cucumbers. Also look into some melons.

The zucchini I grew last year were a bush plant, not a vine (which made the little trellis I built them completely useless...). I didn't read the package, and I thought they were vines...

Sounds good all, thanks for the advice. One further question I had was in the SFG book the spacing for sweet corn & strawberries is 1 per sq foot, but on the main SFG site they're shown planting 4/sq ft. So, am I doing 1 to 1 or 4 to 1?

Corn - it's really according to how deep your soil is. If you intend on only having 6" of soil - only plant 1/sqft. If it is 12", you could possibly do 4/sqft.

About trellising veggies....I have trellised watermelons, cantaloupes, beans, cucumbers, snow peas, and tomatoes. This year, i'll be adding pumpkins as well.

EG

Current plan is to go 6" so we'll stagger space the corn 12" apart, but the edge plants will be closer to the frame.

How about them strawberries? Presently planning on 4 per sft, but that's a lot o' strawberries. :) Maybe just 1 or 2 rows instead of a full box?

Here's the current plan. Left is North, top is to the West.

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Here is a link that might be useful: {{gwi:1260485}}

Are you sure about your directions? I would think that the top should be north. Otherwise everything will be shaded by the corn

Well luckily I don't have any boxes as of yet so the placement is always available to change. Looks like we're going to try 3 boxes and I can put them in any configuration. Would it be better off to do 3 in a line? Here's a aerial. Up is North so I'm currently planning on placing the 3 SFGs south of the house where they'll get the best light. To the east of the large lot is a high tree line but I can really choose to stagger them however I need to in this lot.
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generally you want your taller items or climbing items to the north. All your smaller plants need to go towards the south.