Google N-gram Corpus Counts
╭─ーーーーーー─┬────────┬───────╮
│ 物づくし　　 │  4,883 │ 26.0% │ - adding
│ 物尽くし　　 │  1,214 │  6.5% │
│ 物尽し　　　 │    157 │  0.8% │
│ ものづくし　 │ 12,551 │ 66.7% │
├─ーーーーーー─┼────────┼───────┤
│ 物づくしで　 │    547 │ 23.8% │
│ 物尽くしで　 │    233 │ 10.1% │
│ 物尽しで　　 │      0 │  0.0% │
│ ものづくしで │  1,520 │ 66.1% │ - usually kana
╰─ーーーーーー─┴────────┴───────╯

@@ -3,0 +4,3 @@
+<k_ele>
+<keb>物づくし</keb>
+</k_ele>

daijr/s and koj reference songs/poetry specifically, but it seems to be broader than that. shinmeikai, obunsha, and iwanami don't mention songs.

Google N-gram Corpus Counts
╭─ーーーーー─┬────────┬───────╮
│ 物尽くし　 │  1,214 │  8.7% │ - adding (daijr/s, shinmeikai)
│ 物尽し　　 │    157 │  1.1% │
│ ものづくし │ 12,551 │ 90.2% │
╰─ーーーーー─┴────────┴───────╯

Maybe this is better

@@ -3,0 +4,3 @@
+<k_ele>
+<keb>物尽くし</keb>
+</k_ele>
@@ -12,3 +15,5 @@
-<gloss>being complete</gloss>
-<gloss>comprehensive</gloss>
-<gloss>exhaustive</gloss>
+<misc>&uk;</misc>
+<gloss>enumeration (of similar things)</gloss>
+<gloss>listing</gloss>
+<gloss>catalog</gloss>
+<gloss>catalogue</gloss>

this entry is wrong