I owned Cooper ST and they do NOT look like the tires in your photos.
The tires in your photos look like excellent aggressive AT tires or hybrid tires, but they do NOT look like the Cooper ST I had, nor the STT. What tires are in your photo? They look awesome and I might want to own some someday.
Edited in later: OK, I figured out that you have Dunlop Radial Rover RT. I love that tire, except for one thing. It has a very limited selection of sizes, especially in R15. A great tire. I just wish more sizes made, especially in load range C. It's actually my all time favorite hybrid tire (AT/MT hybrid), but with the very limited size choices, I seldom recommend it to anyone. However, if available in a size a guy wants, it's probably the most versatile all purpose performer made, IMO, with only the Cepek FC2 coming close to it's all purpose versatility.
If a guy wants a 235/75R15 tire, I would highly recommend the Dunlop Radial Rover RT. However, I'm not aware of them making any other R15 sizes. Do they?
So outside of 235/75R15, I'd recommend (in order from least to most aggressive) the BFG AT, D!ck Cepek FC2, and Mastercraft Courser CT.
Note that the FC2 and CT are Cooper brands, and share the same carcass as the ST, but with different tread. The CT is very ST like, but with better center treads and better siping, IMO. So if you like the ST, you'll very likely like the CT even better. As an added bonus, the CT costs less than the ST.
Came with mine when I bought it
They are actually good tires. Not too aggressive, but still better than your typical AT offroad.