As with the W1000X, a lot has been said about the W5000 in regards to how it compares to the W3000ANV. If you use the thread search function you should find a lot of good info.
Regarding the W1000 (non-X) compared to the W3000ANV, the two have a somewhat similar tonal balance: an emphasis on uniquely colored mids, tight and slightly lean but well controlled bass, and a vibrant---slightly bright---upper end. That's not to suggest the two sound the same, but rather that the two have a similar approach. It's what gets construed as the Audio-Technica "house sound" in other words. There is variance within that approach however, enough to warrant favoritism of the W3000ANV among many who dislike some of AT's past headphones. The W3000ANV is altogether more refined and articulate compared to the W1000, a true flagship compared to their wooden consumer mainstay. It extracts detail more adeptly than the W1000. It separates instruments and images better than the W1000. It defines texture to a greater extent. The W3000ANV is essentially closer to perfecting the traits that have come to define Audio-Technica's vision for the W series, traits that are also present in the W1000 but less fully realized.
Personally, I like the W1000 quite a bit. It's somewhat limited in terms of compatibility however, only shining brightest in the context of certain genres and when paired with specific amps. The W3000ANV has the benefit of an easy-going character and will impress with a wider variety of source material and equipment.