Adcock - second in the mixed doubles with Imogen Bankier two years ago - lost his men's doubles clash alongside Andy Ellis against ninth seeds Zhang Nan and Biao Chai.
However, the pair made their high-ranked Chinese rivals fight, in a match they took to a deciding game before going down 21-11, 17-21, 21-8 in 49 minutes.
English champions Chris Langridge and Peter Mills lost 21-7, 22-20 to Japanese fourth seeds Hiroyuki Endo and Kenichi Hayakawa while Marcus Ellis and Scotland's Paul Van Rietvelde were beaten 21-11, 21-8 by Indonesia's Angga Pratama and Ryan Agung Saputra.
Gabby White and Lauren Smith were defeated 21-16, 21-14 by Chinese seventh seeds Yixin Bao and Qianxin Zhong in the women's doubles.
And Heather Olver and Kate Robertshaw were swept aside 21-10, 21-15 by Korean 16th seeds A Ra Ko and Hae Won Yoo.
Toby Penty ended home involvement in the men's singles after a 21-14, 21-11 defeat to German European champion Marc Zwiebler.
And there were women's singles losses for 19-year old Scot Kirsty Gilmour and English national champion Sarah Walker, both against top seeded opposition.