After England collapsed from 288 for five to 302 all out, New Zealand initially struggled in reply before Williamson and Taylor took the game away from the hosts with a clinical 206-run third-wicket stand.
Kohli started his English summer on a bright note hitting an unbeaten 52 off 55 balls while Mahendra Singh Dhoni also played some delightful strokes square off the wicket.
England's bowlers threw everything at Jermaine Blackwood but the West Indies batsman held firm to notch up his maiden Test century.
Kumar Sangakkara blasted a career-best 169 to help Sri Lanka crush South Africa by a huge margin of 180 runs in the first One-Day International, in Colombo, on Saturday.
Kumar Sangakkara scored an unbeaten 113 and then returned to break the world record for the most dismissals by a wicketkeeper in One-day internationals as Sri Lanka beat New Zealand by 34 runs in the seventh and final match in Wellington on Thursday.
Tillikaratane Dilshan eased to his 19th One-day International century to anchor his side to a six-wicket victory over New Zealand in the second game of their seven-match series at Seddon Park in Hamilton on Thursday.
India's Australia tour started on a positive note, following a commendable all-round display against Cricket Australia XI, as the two-day practice match ended in a draw in Adelaide on Tuesday.
Seamers Abhimanyu Mithun and R Vinay Kumar wreaked havoc as Karnataka reduced Uttar Pradesh to 221 for nine, giving themselves a good chance to grab first innings lead, on the second day of the Ranji Trophy quarter-final match in Bangalore.
New Zealand won a rain-affected fourth One-day International by 58 runs on Saturday to take a 2-1 lead over the West Indies in their five-match series.
New Zealand all-rounder Corey Anderson scored the quickest century ever in international cricket on Wednesday, taking just 36 balls against West Indies, to break the record long held by Pakistan's Shahid Afridi.
Out-of-favour opener Gautam Gambhir cracked his first century in more than two years as India 'A' came up with a solid batting display to take firm control of the third unofficial Test against the West Indies 'A' in Hubli.
Hashim Amla's 13th One-day International century and a clinical performance in the field carried South Africa to a comfortable 75 run victory in the opener of their three-match series against Sri Lanka on Sunday.
Misbah-ul-Haq produced a crucial captain's innings to steer Pakistan to a four-wicket win over West Indies in the fifth One-day international in St. Lucia on Wednesday and secure the series 3-1.
Tamim Iqbal became his country's top run-scorer in one-day cricket as Bangladesh beat New Zealand by 40 runs in the second ODI to take an unassailable 2-0 lead in the three-match series, in Dhaka, on Thursday night.
A superb all-round show by J P Duminy earned South Africa a 12-run victory over Sri Lanka in the first Twenty20 international in Colombo on Friday. The tourists, after putting up a modest 115-6 after electing to bat, restricted Sri Lanka at 103-9 at the Premadasa stadium.
Skipper Cheteshwar Pujara scored his third triple hundred in first-class cricket as India gained a stranglehold over the West Indies 'A' in the third unofficial 'Test' in Hubli n Friday. The Saurashtra batsman registered an unbeaten 306 as the home side declared their first innings at 564 for 9, just at the stroke of tea, in reply to the West Indies' 268, to take a 296-run lead.
A fit-again Rohit Sharma and Manish Pandey slammed strokeful centuries as India A feasted on Sri Lanka's mediocre attack before registering a comfortable 88-run victory in a warm-up match for the visitors ahead of their ODI series against India at the Cricket Club of India (Brabourne Stadium) on Thursday.
Ashok Menaria and Kedar Jadhav hit half centuries as India 'A' scored a nail-biting two-wicket victory over New Zealand 'A' in the third and final one-dayer in Visakhapatnam on Thursday. The victory, which was achieved with four balls to spare, gave the hosts a 3-0 series triumph.