I'm not sure which modern CPUs and motherboards support that. I know back in the Core2 days when VT-d was first introduced, it was a nightmare to find the right combination. Looking from the outside, Intel also seems to play a lot of marketing games with their CPU features. Sometimes top-of-the-line CPUs will be missing features that others have. Like selling a $6K Xeon CPU manufactured this quarter without virtualization support. (http://ark.intel.com/products/95831/Intel-Xeon-Phi-Processor...) Supposedly they want to get that feature in there at a later date, but that's not something we like to trust in with computer components.
Your VT-x search returns 1459 products, while the VT-d search returned only 788. Here's a list of things that say they support VT-x but not VT-d (http://ark.intel.com/search/advanced?s=t&VTX=true&VTD=false). Pretty sure some entries on it are wrong, but Intel is also terrible about keeping old technology names on newer spec sheets. Maybe they folded VT-d into VT-x without telling the world?
I agree that this has been confusing in the past (as evidenced by the mix of Atom, Celeron, Pentium, i3, i5, i7, Xeon in your link), but I think at least in VT-* it's been greatly simplified.
http://www.tomshardware.com/answers/id-2031324/4770k-virtual...
From April 2014: Craziest thing. The i7-4770K NOW does support vt-d. It didn't used to, but went on their site today....
I checked the edit history for the Haswell architecture on Wikipedia, and it appears that VT-d was supported by all i5s and i7s, except the K series, save for the 4790k and it's i5 counterpart since at least August of 2014. I'm not sure where I got the idea is was more limited. I had been speccing a computer for a couple of years at that point, so I wouldn't be surprised if I'm digging up irrelevant information.
I'm not an expert on Intel CPU market segmentation, but I do work for Intel on the i965 Mesa driver. I don't think your statement is true.
See http://ark.intel.com/search/advanced?s=t&VTX=true
That's a list of all Intel CPUs with VT-x. It's really easy to narrow down the selection from there. FWIW, I see lots of Skylake i3, i5, and i7s with VT-x.