Yep, chaotic. I prefer to think of it as a normal city rather than a planned one. And like a normal city things have sort of grown organically. It makes for a more realistic city, but in this game that's one place you don't want reality to rear it's ugly head! So here are some things upon which to work.
1) Keep it square. Ideally your city should have for sides and four sides only. Four segments that connect at four corners. But of course, you will get some expansions. Great. But that means you should have no more than six sections. Each edge is a straight line until there is a turn. So, starting at one corner you go along the edge until it turns. That's 1. You follow the edge until it turns again. That's two. Continue until you get back to your starting point. If the count is greater than six, you have some wasted space, or at least space that will be harder to use. You have 13. Ouch.
2) Like buildings should be almost the same size and the same size if possible. You have 15 workshops, half at lvl 15, the others at lvl 10. They are, therefore, vastly different in shape and size. By having them all at some level you make it much easier to organize.
3) Like buildings should be gathered together as much as possible. If your workshops were all the same size you could gather than along one edge and consolidate some space....consolidated space is your friend.
4) Roads should not be along the edges of your city, or rarely so and only for a very short distance. You have a long road next to some residences. Put that road between the two rows of residences by moving the residences over one square. Now you can organize the next row of residences with some other set of buildings next to them without a road between. In the long run you'll find you'll use a lot less roads. And that's space.
5) Roads should be next to each building on one side only....the shortest side. So if you have a 3x5 building there should be no more than 3 roads touching it (except where roads intersect each other). The fewer roads you have touching you buildings the fewer roads you need. And even more space.
6) Keep you roads as high as you can. Why? Because the higher they are the more culture they provide. And that means....fewer culture only buildings and yes, more space! (is there a theme here?)
There are other things, of course, but those are the one's I see now.
And, here is your city with some of these thing implimented. You get over 3 more expansions of room you can use (consolidated).
Have fun.
AJ