This is such a difficult issue to deal with because there are so many variations as to possible cause and effect. Quite frankly, given the fragility of the magnetic recording medium and the way a lot of it is stored I’m amazed most of it lasts as long as it does.
I too had similar problems (CS4) with an old VHS tape that I needed to capture, edit and encode for DVD.
One thing you do need is time because you may have to capture the material in lots of little chunks and stitch it together – bit like a quilt.
The lines you talk of may be damaged tape due to accident, or partial erasure of the RF signal. We used to talk of signal to noise ratio back in the old days. A high signal to noise ration meant good pictures or signal strength recorded to the magnetic medium (more video – less speckles or snow!) You get the same result on an analogue TV when your aerial isn’t plugged in properly.
VHS media will degrade over time – especially when it is not stored optimally. I have VHS tapes of programmes I have made that are simply not as clear as when I first made them.
Back to partial erasure this could be caused by say: storage next to electrical devices, acute variations of temperature over a long period – there are all sorts of potential causes. A TBC will stabilise but will not cure poor signal to noise on a tape. Most TBCs will sharpen or soften the core but I don’t think this is your problem
Presuming that you have tried it on a few VHS players (so it’s not your own machine causing the problem) Boris BCC6 has a DV fixer software filter that can remove jaggies from video and a range of stuff that can clean up a picture. I’m sure other companies have similar stuff.
You could try deinterlacing and choosing to play only one of the two fields on offer. Because VHS is helically scanned video – recorded at an acute angle onto the tape field by field – you might have some luck with this. If the tape was recorded on a damaged machine this sometimes solves the problem.
If none of this works you may have to resort to adding a caption DAMAGED VIDEO to ensure people don’t think it’s you fault.
Perhaps if you could post a few jpegs as an example I could offer other thoughts.
best
andy