This is a list of the visa requirements for Europe Union citizens:
The Philippines
Visa on arrival is free up to 30 days.
Vietnam
Visa on arrival is free up to 15 days for passport holders of Denmark, France, Finland, Germany, Italy, Spain, Norway and UK.
E-Visa online is available for all Europe Union citizens for 25 USD and allows you to stay up 30 days.
Cambodia
Visa on arrival costs 30 USD up to 30 days.
Laos
Visa on arrival costs 25 USD up to 30 days.
Thailand
Free visa on arrival up to 30 days.
There is a possibility to extend to a 60 day visa at the Thai immigration in Bangkok, Pattaya or Phuket for 60 USD.
Myanmar
Tourist E-Visa costs 50 USD for stays up to 28 days to all EU citizens.
The cost of an extra day in Myanmar is 3 USD and you can pay at the Airport or Land border when you leave the country.
Malaysia
Free visa on arrival up to 90 days.
Singapore
Free visa on arrival up to 90 days.
Indonesia
Free visa on arrival up to 30 days.
Extension: you can pay 35 USD at the airport on your arrival to be able to extend for another 30 days. It sounds good but it is a big hassle to apply for the extension at the immigration office and the process costs another 35 USD.
A cheaper way to stay 60 days is getting a tourist visa in advance at any Indonesian Embassy in Europe or Asia for 50 USD.