LCD: No, there are no LCD's that look any "closer" to a CRT. Color and black levels on some are better than others, but for gaming it's essential to focus on input lag. 4 frames is common on a lot of LCD's, and is noticeably bad. 2 frames is acceptable, 1 frame is relatively imperceptible and great for gaming (1 frame = 16.67ms, response time does NOT indicate input lag). Here's a list of low lag LCD's:
http://shoryuken.com/forum/index.php?threads/sub-1-frame-hdtv-monitor-input-lag-database.145141/Edit: That link seems to have stopped working, here's a new one
http://forums.shoryuken.com/discussion/145141/sub-1-frame-hdtvmonitor-input-lag-database/p1Here is a device you could take to a store and test lag before purchasing:
http://www.leobodnar.com/products/LagTest/Unfortunately those things are expensive, but I certainly will be buying one before buying a new TV. What we should do is make a pool to get one and maintain an up to date list of low-lag TV's.
ArcadeVGA:There's no point in trying to get arcade native res into an LCD, the TV will just have to upscale it's own native res to display it. LCD's have an exact fixed number of physical pixels. They can accept other resolutions, but they actually can't display them without scaling them.
You should always feed an LCD it's native res so where possible. If it's a 1080p TV, the signal should be 1080p coming out the PC. If the TV doesn't have to do any scaling, this will help to minimize lag.
MAME:60Hz will be fine for MAME. You just need to use the right settings. Try to avoid triple buffering, as it adds the most lag. You can avoid tearing with other settings.
SLG:If your PC can handle HLSL, an SLG doesn't make any sense for MAME (especially on a budget); would be better for consoles and such. Yes you can tweak HLSL a lot, but you can do better than the SLG with simple copy pasted settings (for free).
EDIT: Saw your latest post while finishing typing this. Congrats on the monitor. That's supposed to be a great one with sub 1-frame of lag. I believe the native res is 1600x1200, so be sure to feed it that.