also v good in low light (which is where your iPhone will struggle).
This ^
iPhone gives you no manual control over ISO/shutter speed. Add to that no RAW capture or optical zoom and already even a smaller-sensor compact zoom such as a Lumix TZ will out-perform the iPhone by some distance. In good daylight your iPhone will take nice pics and could well be worth living with as it is certainly slim.
My shortlist (and I’ve made a few for biking compact) would look something like this:
Ricoh GR – No zoom but class-leading IQ for size
Sony RX100 – Great IQ, again, almost DSLR quality (better than some older DSLRs) but questions over ruggedness and I found it fiddly/slippery as hell to use.
Nikon Coolpix A Not so popular but hence could be bargains had. Similar to RX100 in size. Don’t know much about it but it has a 1″ sensor
Lumix TZ57 budget option, yet with much larger optical zoom. (Much) smaller sensor than those aforementioned, yet still takes more user-friendly pics than an iPhone especially in lower light.