Williams's 'Angels' and Adele's 'Someone Like You' are both listed among the favourite songs to play at a funeral in a poll by Co-operative Funeralcare.
The 'Rock DJ' singer took fifth position on the chart, while Adele placed at number 22 less than two years after its release.
Frank Sinatra's 'My Way' topped the chart for a seventh consecutive year with 15% of the vote, Sarah Brightman and Andrea Bocelli's 'Time To Say Goodbye' came second and Bette Midler took third with 'Wind Beneath My Wings'.
The study also revealed that a quarter of funeral homes refuse to play John Lennon's 'Imagine' on the grounds of taste, as it includes the line: "Imagine there's no heaven."
The poll also showed a decline in hymns in favour of pop music at two-thirds of British services, dropping from 41% to 30%. Only 4% of services feature classical music.
The top 20 pop songs requested at funerals in 2012 are below:
1. Frank Sinatra – 'My Way'
2. Sarah Brightman/Andrea Bocelli – 'Time To Say Goodbye'
3. Bette Midler – 'Wind Beneath My Wings'
4. Eva Cassidy – 'Over the Rainbow'
5. Robbie Williams – 'Angels'
6. Westlife – 'You Raise Me Up'
7. Gerry & the Pacemakers – 'You'll Never Walk Alone'
8. Vera Lynn – 'We'll Meet Again'
9. Celine Dion – 'My Heart Will Go On'
10. Nat King Cole – 'Unforgettable'
11. Tina Turner – 'The Best'
12. Whitney Houston/Dolly Parton – 'I Will Always Love You'
13. Monty Python – 'Always Look on the Bright Side of Life'
14. Luther Vandross – 'Dance With My Father'
15. Louis Armstrong – 'Wonderful World'
16. Daniel O'Donnell – 'Danny Boy'
17. Eva Cassidy – 'Fields of Gold'
18. Righteous Brothers (and various) – 'Unchained Melody'
19. Westlife – 'Flying Without Wings'
20. Eva Cassidy – 'Songbird'