You can also increase the passive noise cancelling by replacing the earpads for felt / velour or fabric lined ones, though bear in mind it will also affect the "feel" of the sound as it reacts differently to the stock PU leather.

Maybe OP works in noisy environments, or his device is a recent phone which doesn't have a jack input and using a adapter is not very convenient?

Anyway, passive noise cancellation (typically, a closed back or in-ears) is more efficient in the higher frequencies: physically blocking short wavelengths is a lot easier, as any obstacle will act as a dampener. On the other hand, ANC is a lot more efficient on lower frequencies (on the opposite, it's easier to be precise on lower frequencies, longer wavelengths). On ANC devices, both are used in tandem. And I don't know if you've tried any good, recent ANC headphones these last few years, but they've become surprisingly good! Nothing to be compared with passive noise blocking.

but im sure there are wired headphones with ANC

I'm sure there are (although I don't know any), but ANC requires digital processing, which is performed by the headphones itself on the signal. If you're plugged in with a jack, that means you'll be needing a digital-to-analog-to-digital conversion, which is objectively a loss in quality, which would have to be handled by the headphones... Besides, ANC headphones usually have several modes which can be selected from the app. Anyway, all that to say that now that we have quite to very good Bluetooth audio codecs, there's no real upside to having a wired connection for ANC headphones, which is why most makers have moved to that.