For what it is worth, I faced Skaven for the first time with the new book yesterday. He had 2* 50 Slaves, 2* 50 Clanrats, 3* 5-6 Rat Ogres with 2 handlers each, one WFT, 3* 6 Night Runners, a Warlord on Bonebreaker, a Warlord with Fellblade, a naked Seer with Dispel scroll, BSB and a Warlock with the Doom Rocket.
I had 3 DG, 12 ICk, 11 regular Knights w/ GW, 2* 34 GS + WP, Helstorm, L4 Death, General w/ Hero Slayer + Lumi, so a very combat heavy force. The ICK charged and killed one unit of Ogres but were then combi-charged by a second and a unit of Slaves. The DGK had to charge the Fellblade guy, which ended pretty desastrous of course. One unit of GS was heavily decimated by the Doomrocket and finally killed by the last unit of Ogres. The second GS actually caught some Gutter Runners and some Ogres but were killed in the end as well - the narrow board and a patch of impassable terrain right in the centre meant I couldn't bring them to bear simultaneously. The normal knights took down a unit of Clanrats over four or five rounds, exploded a unit of Slaves that had flanked them (they rolled box cars outside the BSB range) and the Seer but it took way too long (they held twice on Ld 7 despite Doom and Darkness). My General was one wound away from killing his Warlord on Bonebreaker.
I realize people are loath to take the Fellblade for example but it's just one ace amongst many, and it's impossible to rule anything out after all. D6 wounds and no AS means it's a pretty hard counter to a STank or DGK.
I'm still relatively confident that it would have been possible to defeat him with my list, just with combat power and mobility, it was just impossible to get a flank or even a combo-charge off in this scenario with lots of buildings in the way.