Looking for an program installer monitor or recorder

ProcMon by Microsoft Sysinternals will allow you to record, filter, and view all registry and file changes. Run it prior to starting the installer to see an exhaustive list.

It's probably not the easiest thing around, but it is thorough.

Yes there are several program like this. The best one I I have found is Total Uninstaller, which I use to see what the installer does and how the installed program is organised, so that I can try making it into a portable app, through various means. It's not free, but it is not expensive, and there is a free trial.

Another useful program to just check registry changes is RegShot, which is free and open source,

SnoopFS is probably not enough, but I've often used it when installing if I intend to copy off every installed file. You'd probably want to use it with Procmon for the full effects of any install.

There are a bunch of clean uninstallers, such as Revo, but they don't tell you what needs undoing, they just do it.

I have always used and prefer PC Magazine’s InCtrl(5). It was specifically designed for this purpose and does it pretty well and is quite configurable to weed out irrelevant stuff. Unfortunately ZDNet started charging for the previously-free PCMag utilities several years ago, but you can probably find a copy that someone got before it went for-pay (and as far as I know, it should be legal since that copy was free).

Another one that I like (I’ve tried well over a dozen), is ZSoft Uninstaller; it (too?) is free.