Weigh your bike accurately. NOT with a bathroom scale. If you want to fuss about weight, you need a precise baseline. Digital hanging scale ($25 on Amazon), remove all accessories (bottles, cages, luggage, racks, lights, fenders, etc). To 0.1 lb. Tell us what it weighs.

After you know exactly what your bike weighs, you can assess if it is feasible, desirable, and practical to make it lighter.

You may find that it is reasonably light now. The grass is always greener on the other side of the fence, and the bikes are lighter too - but they aren't always. I'd be surprised if your bike actually weighed more than a typical Surly. Surlys are not high end bikes, they are heavy steel frames with sound and utilitarian design, and the components are on the lower end. A Cross-Check probably weighs 26 lb in typical build.

If you still want to cut weight, the easiest places to cut weight are
Saddle/post - there are featherweight carbon saddles, if your rear likes that kind of thing
Wheels - these can be moved from bike to bike. Or could simply rebuild your existing hubs with lighter rims and thinner spokes. Go tubulars for least weight.
Tires - quite a variation in tire weights
Chain - there are lightweight chains; that's a lot of metal when you think about it