I'm looking for a mate for my XZ-2. The SH-1 seems the logical candidate because of it's increased focal length complimenting the XZ-2. However, the Stylus 1 has a lot of good things going for it, which includes, and is important, a faster AF which allows for possible sports action shooting. The XZ-2 is also capable in that regard, just not long enough.
The Stylus 1 can be customised extensively, and its user base is well represented here at DPReview. The closest that I still have is the SP-570UZ from 2008, which just about disqualifies me from discussing the Stylus 1 in any depth.
The SH-1 has a smaller sensor than the Stylus 1 has. In practice this means I can print an un-cropped frame with a full dynamic range to A1 size (33x23 inch). But pixel-peeping at a screen magnification larger than such a print (I have done about six by now) shows up camera artifacts from 1.5x that print size and above. This can be a serious health risk for you.
There are three settings on the top line of the LCD which adjust saturation, contrast and sharpening all at the same time (My SP-570UZ allows me to set those separately) -

The 'Muted' setting I am choosing gives me more detail retention with less sharpening for those large prints.
For a minimum of post-processing for all the quick and small stuff, setting 2 'Natural' is perfectly ok.
I do get a manual setting on the top dial -
To set it, I have to press the 4-way rocker up, which took a couple of tries to get it in the auto pilot of my brain -

Once I am there, the 4-way rocker acts like I am expecting it to.
I am regularly playing with HS video -

I set here the EV to minimum -2 so you can see the screen prompts.
Time Lapse is more involved -

The shooting period here is 10 minutes, and the video will play back in 20 seconds.
I have spent up to an hour recording time lapses on the SH-1, and real-time sound on my SH-50 for later dubbing in -
There is more stuff on the SH-1. Some people like the art filters. I have gone through them only once.
Mainly, I find the SH-1 utterly reliable. The battery charge now lasts through a typical Morris dance gig of two half hour brackets. While previous models did get better and better, the SH-50 let me down at the Easter Show, shutting down after the second last item in our second bracket (but it did save that item before dying on me!!!!).
I've read that the shorter Stylus 1 does work well with adapters. So it might be a worthy consideration to utilize tele (and maybe wide angle) adapters?
The SH-1 has no adaptors, and up to this point I have not made a safe adaptation of the home made adaptor I knobbled together for the SZ-30MR.
Which would you recommend, and especially, why? Thanks.
I am happier with fewer buttons and less duplication of functions than my SP-570UZ has. Hence I feel no urgency to get another bridge camera.
I have walked home more than once with the lens out after the batteries expired on my C-750UZ (it appeared in 2003). I feel that this is a feature that should not have been re-invented, as it appears to have been done on the Stylus 1.
Henry
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Henry Falkner - SH-1, SH-50, SP-570UZ
http://www.pbase.com/hfalkner