| Nationality: | Danish |
| Birth Date: | 3 January 1931 |
| Birth Place: | Copenhagen, Denmark |
| Death Place: | Ålsgårde, Hellebæk, Denmark |
| Clubs1: | Handelsstandens Gymnastikforening |
| Years1: | 1947-? |
| Nationalyears1: | 1948–1962 |
| Nationalteam1: | Denmark |
| Nationalcaps1: | 63 |
| Nationalgoals1: | 109[1] |
Else Gunnarsson (3 January 1931 in Copenhagen, Denmark - 28 September 1998 in Ålsgårde, Hellebæk, Denmark) was a Danish handball and basketball player. She represented Denmark on both national teams. She was part of the Danish team that won silver medals at the 1962 World Women's Handball Championship in Romania.
She debuted for the handball team of Copenhagen-based club Handelsstandens Gymnastikforening in 1947. With the club she won 7 Danish league titles between 1951 and 1965. She won the 1964–65 European Cup with HG. This was the first time a Danish club had won the tournament. The following season, they reached the final, but lost to East German club SC Leipzig.
Birkmose debuted for the Danish national team in 1948.[1] She competed at the first ever Women's World Championship in Yugoslavia 1957, where Denmark finished 5th. In 1956 she would be the first the reach 25 caps for the Danish Women's National Team.[2]
She retired from the handball national team after the 1962 World Women's Handball Championship in Romania, where Denmark won silver medals.[1] [3]
In 1963 she became the head coach of the Denmark women's national handball team together with Birgitte Wilbek. They were the first, and until this date, the only women on the position.[4]
Birkmose represented Denmark at the 1956 European Championships where Denmark finished 13th.
Birkmose was a board member of Københavns Håndbold Forbund from 1957 to 1958.
She was educated as a secretary. Until 1965 she was employed by the insurance company Nye Danske. Afterwards she was employed by the Danish newspaper Det fri Aktuelt.