Here's my take:
For Workbench and applications, an LCD monitor is prefferable to CRT because you get a sharper and more precise image on an LCD. Especially compared to old CRTs (all CRTs are old now) which tend to suffer from a range of image geometry distortions.
For Games, Demos and a general retro experience then CRT is prefferable because it's far more 'forgiving' of the AMIGAs graphics capabilities than LCD. In fact, I imagine that most games on the AMIGA are designed around the experience you get from a CRT screen. Games definitely look better on CRT, there's no doubt about it.
In practice I use both. On the CRT side I use an AMIGA technologies branded 1538. This is an excellent little monitor because of its ability to multisync. You can use it on the AMIGA native modes and also higher graphics modes on the Workbench, no problems.
I also have a Philips 8833, so my setup is very similar to Paul's. But I tend to use my Philips monitor on my old Spectrum computers rather than the AMIGA.
I also have another CRT monitor, the model I can't quite recall (will have to check later) but it only just about syncs down to the AMIGA screen modes and I found that only the higher modes work on it so it's not that much use for gaming. It's a lovely monitor with my graphics card in the A2000 though.
Paul's right, they do take up a lot of room. Whether that's worth it or not depends on what you're doing with your AMIGA the most.
PS: I worry about keeping these old monitors in the attic on two fronts:
- Previously I kept a monitor up there and it yellowed really badly. I was under the impression that exposure to UV triggered this reaction but my monitor went yellow just by being stored in the attic in the dark! I wonder if the heat triggered it. Not sure. But ever since then I don't keep any AMIGA equipment in the attic.
- It gets very hot in the attic, especially in the Summer. And then it goes cool in the night. So your equipment is going hot/cold/hot/cold all the time. So I worry about the longevity of older equipment like this when subjected to that environment. This is a worry that is born of personal feeling rather than direct experience of attic storage causing specific problems with my equipment.