Since Alfven is one of the best served Swedish composers in terms of recordings of his music it is perfectly possible that I may have missed some of these recordings.
HUGO ALFVEN: A CATALOGUE OF THE ORCHESTRAL AND CHORAL MUSIC
1896-97/
1903-04:Symphony No.1 in F minor, op.7: 40 minutes + (Swedish Society Discofil, BIS, Brilliant and Naxos cds)
1897-98:Symphony No.2 in D major, op.11: 52 minutes + (Swedish Society Discofil, Musica Sveciae, BIS, Brilliant and Naxos cds)
1899: Cantata "At the Turn of the Century" for soprano, chorus and orchestra, op.12: 17 minutes + (Sterling cd)
1899-1901:"The Lord's Prayer" for soloists, chorus and orchestra, op.15: 44 minutes
1900: Ballad "The Bells" for baritone and orchestra, op.13: 9 minutes + (Sterling cd)
1903: Swedish Rhapsody No.1 "Midsummer Vigil" for orchestra, op. 19: 13 minutes + (several recordings)
1904: Symphonic Poem "A Legend of the Skerries" for orchestra, op.20: 16 minutes + (Swedish Society Discofil, BIS, Brilliant, Chandos and Naxos cds)
1904-05:Symphony No.3 in E major, op.23: 37 minutes + (Swedish Society Discofil, Phono Suecia, BIS, Brilliant and Naxos cds)
1906: "Fosterlandspsalm" for voice and orchestra or military band: 1 minute
1907: Swedish Rhapsody No.2 "Uppsala Rhapsody" for orchestra, op. 24: 10 minutes + (BIS, Brilliant, Chandos and Naxos cds)
"Festspel" for orchestra, op.25: 5 minutes
1908: "Drapa: Memory of King Oscar II" for orchestra, op.27: 10 minutes + (BIS cd)
1909: Festival Overture for military band, op.26: 7 minutes + (BIS, Chandos, Simax and Naxos cds)
"Brollopsmarsch" (Wedding March") for orchestra: 4 minutes
1912: Ballad "Young Master Sten Sture" for baritone, male chorus and orchestra, op.30
1913: Revelation Cantata for baritone, bass, chorus and small orchestra, op.31: 24 minutes + (Sterling cd)
1914: Cantata for the Opening of the Baltic Exhibition in Malmo for baritone, chorus and orchestra, op.33: 27 minutes
1915: Cantata for the 100th Anniversary of the Uppsala Royal Management Society for chorus and orchestra, op.35: 22 minutes
1916: "Sweden's Flag" for voices and small orchestra: 2 minutes
1916-23:Ballet "The Mountain King", op.37 (and 1923: Suite: 15 minutes-BIS, Musica Sveciae, Brilliant and Naxos cds))
1917: Cantata for the 1917 Reformation Festivities in Uppsala for baritone, chorus and orchestra, op.36: 33 minutes + (Sterling cd)
1918: Elegy at Emil Sjogren's Funeral for orchestra, op.38: 12 minutes + (Naxos cd)
1918-19:Symphony No.4 "From the Outemost Skerries" for soprano, tenor and orchestra, op. 39: 47 minutes + (several recordings)
1920/53:Ode on Gustavus Vasa for tenor, baritone, chorus and orchestra, op.40: 4 minutes
1924: "Hjalmar Branting's Funeral March" for winds, op.42: 5 minutes
1925: "A Boat with Flowers" for baritone and orchestra, op. 44: 10 minutes
1927: Cantata for the 450th Anniversary of Uppsala University for soprano, baritone, chorus and orchestra, op.45: 24 minutes + (Sterling cd)
1928: "Manhem" for tenor, choir and orchestra, op. 47
1930: Cantata for the Swedish Red Cross's Ceremonial Meeting, 2 May 1930 for chorus and orchestra, op.46
1930/36:Festmarsch for the opening of the Stockholm Exhibition, op.41: 8 minutes
1931: Swedish Rhapsody No.3 "Dalarapsodi", op.48: 21 minutes + (BIS, Phono Suecia, Brilliant, Chandos and Naxos cds)
1932: Suite from the Incidental Music to Gustaf II Adolf, op.49: 36 minutes
1934: Suite "Synnove of Solbakken", op.50: 27 minutes + (Phono Suecia, Sterling and Naxos cds)
Four Tunes from Leksand for wind orchestra: 12 minutes
1935: Cantata for the 500th Anniversary of the Swedish Parliament for baritone, chorus and orchestra, op.51 + (Phono Suecia cd)
1942-52:Symphony No.5 in A minor, op.55: 47 minutes + (Swedish Society Discofil, Phono Suecia, BIS, Brilliant and Naxos cds)
1944: Festival Overture, op.52: 10 minutes
1945: Suite "A Country Tale", op. 53: 33 minutes + (Sterling and Naxos cds)
1956-57:Ballet "The Prodigal Son" (and 1957: Suite: 18 minutes-BIS, Brilliant and Naxos cds))