Arsenal will play in the Champions League for a 16th consecutive season, and 10-man Schalke scraped into the group stage along with them on Tuesday.
With a 3-0 lead over Fenerbahce from the first leg, Aaron Ramsey scored twice at the Emirates Stadium to ensure Arsenal's 2-0 victory and its advance 5-0 on total goals.
Schalke moved on despite U.S. midfielder Jermaine Jones being sent off. The German club won 3-2 at PAOK Salonika of Greece and advanced 4-3.
Steaua Bucharest will be in the group stage draw for the first time in five years after drawing 2-2 at Legia Warsaw. It advanced on away goals after the first leg finished 1-1.
Basel of Switzerland, already leading Ludogorets Razgrad 4-2, won 2-0 at home soil to cruise into Thursday's draw.