Thai has a great fare to Copenhagen during the months of May and June 2017. All fares are via Bangkok and are as follows –
Sydney to Copenhagen – $1020 (*3hr transit on the way there and 2hr on the way back)
* Thai operates Sydney – Bangkok twice daily on most days. For a minimal layover time, best pick the 4pm departure from Sydney and the return leg departing from Bangkok at 8am and arrival into Sydney at 8pm)
Melbourne to Copenhagen – $1008 (3hr transit on the way and 18hrs on the way back for this fare*).
*To cut down on that long return layover, for $1072 allows you to have a transit of 3hrs on the way there and 2hrs on the way back)
If the long layover suits, you may like to explore Bangkok. Oriental Escape has a customised tour for transit passengers with 7hrs of more to spend in Bangkok.
To book this great fare jump on momondo.