Since Volker Ruppert got it to work I tried it too. Yes, I could boot Tinycore 4.7.7 and 5.0.1 with Bochs 2.6.2 just fine. No changes required. I did not need to boot into text mode and then start X after that.
Here are some lines from my bochsrc.bxrc file:
cpu: model=turion64_tyler, count=1, ips=50000000, reset_on_triple_fault=1, ignore_bad_msrs=1, msrs="msrs.def"
cpu: cpuid_limit_winnt=0
vgaromimage: file=$BXSHARE/VGABIOS-lgpl-latest
ata0-slave: type=cdrom, path="D:\Programme\QemuManager\media\TinyCore-4.7.7.iso", status=inserted
boot: cdrom,disk
The rest of the lines seems to be unchanged from the default bochsrc.bxrc file.
I had trouble with Bochs 2.5.0 but this could be caused by too many changes to the bochsrc.bxrc file I have made over time.