Phones exaggerate textures and flatten lighting, so when shooting at similar angles I like some of these things:

- challenging lighting. The phone will give you a more legible out-of-the-box processing, but is there a better photo if you let the background be blown out, or the foreground be in deep shadow?

- shots with textured things where the difference between the "sweater effect" sharpening and "natural" texture becomes apparent in a "reduce the eye strain from everything being hyper-sharpened" way

- night shots generally - it's been nearly ten years since long-exposure-blur-reduction night modes on phones, and they have a very specific look that's pretty different and generally fairly artificial when you see alternatives

- high shutter speed / motion - especially in lower lighting where the phone is gonna choose less noise

- cropping; make use of the bigger sensor and more pixels compared to the phone

lightroom and similar other tools with modern noise reduction systems go along way to get wow-factor out of handheld high-iso raw files compared to camera stabilization/processing