This video includes every Whoniverse monster that I could find spanning 60 years from the Magnedons to the Wrarth Warriors. If there are any that you think I missed, please comment as I will likely update this later.

0:00 - Doctor Who Season 1 (1963-1964)
0:26 - Doctor Who Season 2 (1964-1965)
1:24 - Dr Who and the Daleks (1965)
1:31 - Doctor Who Season 3 (1965-1966)
2:28 - Daleks' Invasion Earth 2150 A.D. (1966)
2:32 - Doctor Who Season 4 (1966-1967)
2:50 - Doctor Who Season 5 (1967-1968)
3:10 - Doctor Who Season 6 (1968-1969)
3:52 - Doctor Who Season 7 (1970)
4:06 - Doctor Who Season 8 (1971)
4:30 - Doctor Who Season 9 (1972)
5:05 - Doctor Who Season 10 (1972-1973)
5:54 - Doctor Who Season 11 (1973-1974)
6:23 - Doctor Who Season 12 (1974-1975)
6:50 - Doctor Who Season 13 (1975-1976)
7:20 - Doctor Who Season 14 (1976-1977)
7:48 - Doctor Who Season 15 (1977-1978)
8:25 - Doctor Who: The Key to Time (1978-1979)
9:12 - Doctor Who Season 17 (1979-1980)
9:42 - Doctor Who Season 18 (1980-1981)
10:24 - Doctor Who Season 19 (1982)
11:01 - Doctor Who Season 20 (1983)
11:28 - Doctor Who Season 21 (1984)
11:55 - Doctor Who Season 22 (1985)
12:29 - Doctor Who: The Trial of a Time Lord (1986)
12:57 - Doctor Who Season 24 (1987)
13:27 - Doctor Who Season 25 (1988-1989)
14:01 - Doctor Who Season 26 (1989)
14:25 - Doctor Who: The Wilderness Years (1990-2004)
14:50 - Doctor Who Series 1 (2005)
16:11 - Doctor Who Series 2 (2006)
16:54 - Torchwood Series 1 (2006-2007)
17:22 - Doctor Who Series 3 (2007)
18:23 - The Sarah Jane Adventures Series 1 (2007)
18:45 - Torchwood Series 2 (2008)
19:08 - Doctor Who Series 4 (2008)
19:43 - The Sarah Jane Adventures Series 2 (2008)
20:10 - Torchwood: Children of Earth (2009)
20:14 - The Sarah Jane Adventures Series 3 (2009)
20:24 - K9 Series 1 (2009-2010)
21:25 - Doctor Who Series 5 (2010)
22:26 - The Sarah Jane Adventures Series 4 (2010)
22:47 - Doctor Who Series 6 (2011)
23:07 - Torchwood: Miracle Day (2011)
23:40 - The Sarah Jane Adventures Series 5 (2011)
23:52 - Doctor Who Series 7 (2012-2013)
25:27 - Doctor Who Series 8 (2014)
26:03 - Doctor Who Series 9 (2015)
26:55 - Class Series 1 (2016)
27:20 - Doctor Who Series 10 (2017)
27:54 - Doctor Who Series 11 (2018)
28:51 - Doctor Who Series 12 (2020)
29:23 - Daleks! (2020)
29:38 - Doctor Who: Flux (2021)

Songs used:
Doctor Who Theme (An Unearthly Child - The Macra Terror) - Ron Grainer & Delia Derbyshire
Doctor Who Theme (The Faceless Ones - The Horns of Nimon) - Ron Grainer & Delia Derbyshire
Doctor Who Theme (The Leisure Hive - Revelation of the Daleks) - Peter Howell
Doctor Who Theme (The Trial of a Time Lord) - Dominic Glynn
Doctor Who Theme (Time and the Rani - Survival) - Keff McCulloch
Doctor Who Theme (Dimensions in Time) - Adrian Pack & Michael Fillis [Cybertech]
Doctor Who Theme (Doctor Who: The Movie) - John Debney
Doctor Who Theme (Scream of the Shalka) - Russell Stone
Doctor Who Theme (Rose - Last of the Time Lords) - Murray Gold
Torchwood Theme - Murray Gold
The Sarah Jane Adventures Theme - Murray Gold
Doctor Who Theme (Voyage of the Damned - The End of Time) - Murray Gold
K9 Theme - Michael Lira
Doctor Who Theme (The Eleventh Hour - The Angels Take Manhattan) - Murray Gold
Doctor Who Theme (The Snowmen - The Time of the Doctor) - Murray Gold
Doctor Who Theme (The Day of the Doctor) - Murray Gold
Doctor Who Theme (Deep Breath - Twice Upon a Time) - Murray Gold
Class Credits - Blair Mowat
Doctor Who Theme (The Woman Who Fell to Earth - The Power of the Doctor) - Segun Akinola
Daleks! Theme