Is there any usable program that could help me organize elements on PCB breadboards? Or maybe some kind of autorouter?
By PCB breadboard I mean something like this:
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Have you tried VeeCad?
The screenshots/examples on the web page make it look as if it is limited to board with horizontal strips. But according to the feature matrix, it does "[c]ustom track patterns, including SMD components."
Googling around, I found this screenshot of a custom board layout being used in VeeCad (see below).
Another possibility is DIY Layout Creator. This is multi-platform freeware program (GPLv3 license).
I don't know of any tailored solution, but I have a workaround/trick that generally makes it a lot easier to design stripboard layouts.
This process does a lot of the work for you. It's been pretty useful to me when prototyping larger circuits.
There are two conflicting requirements here:
Basically, everyone (company, person, etc...) who has enough money to afford an autorouter is not going to bother with breadboards at all. As such, there is no incentive to bother designing such a product.
So basically, unless it's part of an open source project (of which I don't exactly have a high opinion), the answer is no.