The nearest from my point of view is the Sony PCM M10. It is significantly wider and the built in mics are less directional, on the other hand the display is clearer, the pre-amps seem cleaner and using an external mic I can achieve more usable gain (using the right mics to suit it - no point in amplifying noise). It comes with a mains power adaptor, though the AV dealer I bought mine from only stocks the Euro version now. It looks like this may be on its way out - just speculation - no evidence. It also has a proper rotating gain control unlike the clicky doofers on the LS-14 etc. My M10 lives in a zipped shell designed for those usb external computer HDs.
A lot depends on how you use the LS11 - unlike the LS-11 where the mics protrude, those on the M-10 are more recessed so fitting a windbreak is less easy (Rycote do sell one). If you are using an external mic, the Sony will do every thing an LS-11 will do and possibly slightly better.
I own things like the Tascam DR-40 (far bigger and clicky volume controls again) and while they are all good in their own way they don't really substitute for the LS-11 or Sony (in my opinion). The LS-12/14 were a dissapointment to me (I own an LS-14 that works as a simple musicians tool, but is not as good for other things as the LS-11 - it is not 'bad' but not as good).
If I lost my LS-11 I might try the LS-100 as a replacement, bigger and heavier but it may work for me, I would have to try it before I could know.
In the past a very basic but far cheaper good audio recorder was the Yamaha Pocketrak PR7, but since that has gone up in price and the LS-14 come down (on Amazon), the LS-14 is the better buy.
Once upon a time everyone played some instument, usually a guitar to impress ones mates, there was live music in many venues and everyone had a battery powered casette recorder. Times change and if it can't be done on a smart phone, many folks aren't interested. The small high performance audio recorder seems to be following the example of the same class of camera and only more specialised kit survives. When I was young I remember old men telling me how good things were once - they were probably right, but like it or not - times change - so we need to make the most of what survives while we have it - or move on. Thus spake the dinosaur...