Belgium, boasting one of the most talented squads in Europe, will return to the global showpiece for the first time since 2002 after a 2-1 win in Croatia guaranteed top spot in Group A.
Germany's 3-0 home win over Ireland, with goals from Sami Khedira, Andre Schuerrle and Mesut Ozil, put them through from Group C while the Swiss won 2-1 in Albania to wrap up Group E.
The Netherlands and Italy had already sealed their passage to the finals before the penultimate round of qualifiers.
Group F leaders Russia are on the verge of qualifying thanks to a 4-0 victory in Luxembourg while Wayne Rooney was among the scorers in England's 4-1 win over Montenegro at Wembley which kept Roy Hodgson's side top of Group H heading into Tuesday's final round of matches.
England are a point ahead of Ukraine who kept up the pressure by beating Poland 1-0.
Bosnia, seeking to reach their first major tournament as an independent nation, and Greece remain neck-and-neck on 22 points at the top of Group G after home wins on Friday.
Bosnia, with Edin Dzeko scoring twice, thumped Liechtenstein 4-1 while a Martin Skrtel own goal handed Greece a 1-0 success at home to Slovakia.
Robin van Persie hit a hat-trick in the 8-1 demolition of Hungary to become all-time leading Dutch scorer, taking his tally to 41 international goals and surpassing the 40 scored by Patrick Kluivert.
Nicklas Bendtner made a sensational return from a six-month ban by netting both goals in Denmark's 2-2 draw at home to Italy. The striker was suspended by the Danish FA after being arrested for drink-driving but his international return was spoiled by Alberto Aquilani's stoppage-time equaliser.
World and European champions Spain will move closer to qualifying if the Group I leaders beat Belarus in a late kickoff.
(Editing by Ken Ferris)
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