It's good to see that your concrete blocks are still in pretty good shape after years of being your raised bed border. In fact, they can be used again, which might not be possible to say about some wooden raised beds.

So that means you just need to clear up the surrounding area to make the garden look not like it was thrown together, as you put it.

I would suggest to hoe or remove the sod/grassy parts between the beds or between the bed and driveway (the curved part). You can then mulch it or put those crushed granite/rocks there.

Having some kind of border edging material or weed guard would be fine also. I just worry about any car accidentally driving over it (which being grass now, is OK, but being edging, would hurt it)

You can also buy some covers for the square or round beds, and that will help make them look more finished also, as well as increasing the height. Giving it some additional height from the ground also helps a raised bed look more pronounced.

An example of the mulched look is here in this thread, which you might like to follow also for some additional discussion on almost a similar topic.

http://forums2.gardenweb.com/discussions/2981580/reconfiguration-of-my-garden

You have a pretty nice area to work with. With all gardens it's a matter of budget and design. If you want to re use the blocks I would definitely recommend doing some leveling. If you could find spare lumber or have the budget, I always like to use wood beds. Treated is the best but a lot of mine are just old 2x6's I could find for free and treat myself. In the case of between your beds I would recommend using weed cloth and mulch. It REALLY helps with the weeds and gives your garden a nice clean look. Here is the mulching I just did this weekend.

I buy my mulch by the truck load so all this was about 100$. Like I said earlier you have a really cool spot to work with. You'll get out of it, the time you put into it.

When I had raised beds at my previous home, we just mulched with woodchips that we got for free from the power line trimming crew. It did grow some fungus, but spread thickly it completely suppressed weeds. It drained well also. Buried edging or a V cut edge helps keep the grass from growing in from the edges.

I actually have/had mulch between the beds, but guess it might not have
been enough. I had layed weed fabric down and put the mulch on top of
that, but lack of free time to keep things nice and tidy have resulted
in the fabric-mulch-weeds-plastic parfait going on right now. I had
thought about using pine needles since I've got plenty of those in the
back, but having something that flammable next to the house is not a good thing.

That's why I was thinking something more permanent - lack of time to devote to keeping things tidy. Although that looks like it'll be changing in the next month or so, so maybe ripping everything out of the aisles and re-covering them might be another option...

Thanks for the ideas, everyone. They're much appreciated.