The tapes you'll have the hardest time transferring with a new VCR are the ones made with a cheap VCR after ~1999 (after everyone had basically switched to DVD for watching movies, but VHS still existed as a nasty kludge for time-shifting prior to DVRs becoming affordable & common). Old tapes recorded with expensive VCRs generally play fine unless they were stored someplace humid. New tapes recorded with $99 VCRs might not be playable by anything besides the VCR that recorded them... and even THAT's questionable. 1980s tapes were built to last, and VCRs were precision devices built to exacting standards. Early-2000s tapes were designed to cost a dollar to manufacture & last for a year or two, and the VCRs were as mechanically shoddy as they could get without outstripping the capabilities of the DSP chip.
In audiocassette terms, last-gen VCRs & tapes had CATASTROPHIC problems with what would have been called "wow & flutter" on an audiotape. Basically, VHS depends upon having a precise match between the tape speed and head rotation speed, and the last-gen models were UNBELIEVABLY sloppy with it. Often, as belts aged, they'd lurch and slip.
Big tip: forget everything you've been told about the "real" resolution of VHS tapes. If your goal is to preserve them in digital form forever, without making them worse, capture at 720x480 & accept the fact that noise compresses badly, so you'll need a fairly high bitrate (6mbps BARE MINIMUM). And don't be too eager to throw away YUV color information -- keep it 4:2:2 unless you literally don't ever intend to try restoring it. Remember, most video-restoration tools depend upon exactly the kind of "higher-order" that aggressive compression throws away & mangles.
Most importantly, never forget that the only thing Nyquist guarantees is that a sample rate less than double the information rate is guaranteed to fail... it says NOTHING (directly) about the minimum sample rate that will actually preserve higher-order detail.
The really bad news: at the moment, there's no compression scheme that's mostly lossless (like lossless h.264 with x264) AND compliant enough with Blu-Ray standards to be directly playable by a random Blu-Ray player. So... don't get too hung up on near-line playability. Capture your minimally-compressed gold copy and carve it into (non-LTH BD-R) stone, then re-encode a DVD-playable copy (704x480 MPEG-2 6-8mbps, AC3 or MP3 audio, possibly with long GOPs and/or VBR if you know your player can handle them).