I collected over 14 lists of Best Music of 2020 from the Internet, newspapers and magazines and compiled them into one meta-list. Here are the results: every recording on three or more of the original source lists, organized by rank (that is, with the albums on the most lists at the top).

Note 1: I have provided genre descriptions of the artist from Wikipedia as a guide.
Note 2: These are not my personal opinions. I have not listened to all this music.

On 14 lists
Fiona Apple – Fetch the Bolt Cutters (art pop; baroque pop)

On 13 lists
Run the Jewels – RTJ4 (hip hop)

On 12 lists
Taylor Swift – Folklore (indie folk; alternative rock; chamber pop)

On 11 lists
Phoebe Bridgers – Punisher (indie rock; folk rock; emo)
Waxahatchee – Saint Cloud (indie rock; indie folk)

On 10 lists
Dua Lipa – Future Nostalgia (pop; synth-pop; dance-pop)

On 9 lists
Perfume Genius – Set My Heart on Fire Immediately (indie pop; chamber pop; indie rock)

On 8 lists
Chloe x Halle – Ungodly Hour (R&B)
Bob Dylan – Rough and Rowdy Ways (Americana; folk; blues)
Fleet Foxes – Shore (indie folk; chamber pop; folk rock)
Haim — Women in Music Pt. III (rock; pop rock; R&B)
Sault – Untitled (Black Is) (R&B; house; disco)
Rina Sawayama – Sawayama (pop; R&B; alternative metal)
Thundercat – It Is What It Is (funk; R&B; jazz)
Jessie Ware – What’s Your Pleasure?  (pop; R&B; electronica)

On 6 lists
Bad Bunny – YHLQMDLG (Latin trap; reggaeton; alternative)
Charli XCX – How I’m Feeling Now (dance-pop; electropop; pop punk)
Freddie Gibbs & the Alchemist – Alfredo (hip hop)
Lil Uzi Vert – Eternal Atake (hip hop; emo rap; punk rap)
Sufjan Stevens – The Ascension (indie folk; baroque pop; electronica)

On 5 lists
21 Savage & Metro Boomin – Savage Mode II (hip hop; trap)
Bartees Strange – Live Forever (indie rock; hip hop; jazz)
Fontaines D.C. – A Hero’s Death (post-punk; indie rock)
Ariana Grande – Positions (pop; R&B)
Grimes – Miss Anthropocene (art pop; electronic; dream pop)
Jason Isbell & the 400 Unit – Reunions (country; alt. country; Southern rock)
Jay Electronica – A Written Testimony (hip hop)
Moses Sumney — Græ (indie rock; electro-soul; baroque pop)
Sun Ra Arkestra – Swirling (jazz)
Tame Impala – The Slow Rush (psychedelic pop; disco; electronic)
Yves Tumor – Heaven to a Tortured Mind (electronic; experimental)

On 4 lists
Susan Alcorn – Pedernal (free jazz; avant-garde classical; folk)
Beabadoobee – Fake It Flowers (indie rock; indie pop; low-fi)
Caribou – Suddenly (pop; electronica)
Flo Milli – Ho, Why Is You Here? (hip hop; trap)
Jyoti – Mama, You Can Bet! (experimental; funk; jazz fusion)
Lianne La Havas — Lianne La Havas (indie folk; neo soul; soul)
Lady Gaga – Chromatica (pop; dance; electronic)
Laura Marling — Song for Our Daughter (folk; folk rock)
Róisín Murphy – Róisín Machine (electropop; dance-pop; art pop)
Jeff Parker and the New Breed — Suite for Max Brown (jazz; experimental; post-rock)
Nadine Shah – Kitchen Sink (indie rock; jazz; post-punk)
Soccer Mommy – Color Theory (indie rock)
Bruce Springsteen – Letter to You (rock)
The Weeknd – After Hours (R&B; pop; alternative R&B)
Hayley Williams – Petals for Armor (pop punk; emo; alternative rock)

On 3 lists
Ambrose Akinmusire – on the tender spot of every calloused moment (jazz)
Beach Bunny – Honeymoon (indie rock; indie pop; pop punk)
Bonny Light Horseman – Bonny Light Horseman (folk)
Bill Callahan – Gold Record (lo-fi; underground rock; alt. country)
The Chicks – Gaslighter (country; Americana; bluegrass)
clipping. – Visions of Bodies Being Burned (experimental hip hop; industrial hip hop; noise rap)
Shirley Collins — Heart’s Ease (folk)
Cornershop – England Is A Garden (alternative rock; indie rock; Britpop)
Destroyer – Have We Met (indie rock)
Exploding Star Orchestra – Dimensional Stardust (post-rock; jazz; avant-garde)
The Flaming Lips – American Head (alternative rock; neo-psychedelia; post-punk)
Nubya Garcia — Source (jazz)
IDLES – Ultra Mono (punk rock; post-punk; post-hardcore)
Boldy James – The Price of Tea in China (hip hop)
Khruangbin — Mordechai (psychedelia; funk; dub)
Adrianne Lenker – Songs and Instrumentals (folk)
Charles Lloyd – 8: Kindred Spirits (jazz)
Megan Thee Stallion – Good News (hip hop)
Víkingur Ólafsson – Debussy • Rameau (classical)
Oneohtrix Point Never – Magic Oneohtrix Point Never (electronic; experimental; ambient)
Kelly Lee Owens – Inner Song (techno; dream pop; electronic)
Margo Price – That’s How Rumors Get Started (country; Americana; country-soul)
Moses Sumney — Græ (indie rock; electro-soul; baroque pop)
Webber/Morris Big Band – Both Are True (avant-garde jazz; free jazz; contemporary classical)
Lucinda Williams — Good Souls Better Angels (Americana; folk rock; alt country)
Nate Wooley – Seven Storey Mountain VI (jazz; electronic; contemporary classical)