| # | Internationalt navn | Dansk navn | Status 2003-2009 |
| 1 | Boudiera tracheia (Gamundi) Dissing & T.Schum. | Åbæger | DD |
| 2 | Discina ancilis (Pers.) Sacc. | Udbredt stenmorkel | LC |
| 3 | Discina fastigiata (Krombh.) Svrcek & Moravec | Toppet stenmorkel | CR |
| 4 | Discina gigas (Krombh.) Eckbl. | Kæmpe-stenmorkel | VU |
| 5 | Discina leucoxantha Bres. | | CR |
| 6 | Discina parma J.Breitenb. & Maas Geest. | Flad stenmorkel | CR |
| 7 | Disciotis venosa (Pers.) Boud. | Klor-bægermorkel | LC |
| 8 | Gyromitra esculenta (Pers.) Fr. | Spiselig stenmorkel | LC |
| 9 | Gyromitra infula (Schaeff.) Fr. | Bispehue-stenmorkel | LC |
| 10 | Helvella acetabulum (L.) Quél. | Pokal-foldhat | LC |
| 11 | Helvella albella Quél. | | EN |
| 12 | Helvella bulbosa (Hedw.: Fr.) Kreisel | Højstokket foldhat | LC |
| 13 | Helvella chinensis (Velen.) Nannf. & L.Holm | | LC |
| 14 | Helvella confusa Harmaja | | VU |
| 15 | Helvella corium (Weberb.) Massee | Pile-foldhat | LC |
| 16 | Helvella costifera Nannf. | Furestokket foldhat | VU |
| 17 | Helvella crispa Scop.: Fr. | Kruset foldhat | LC |
| 18 | Helvella elastica Bull. | Elastik-foldhat | LC |
| 19 | Helvella ephippium Lév. | Saddel-foldhat | LC |
| 20 | Helvella fusca Gillet | | DD |
| 21 | Helvella lactea Boud. | Mælkehvid foldhat | DD |
| 22 | Helvella lacunosa Afz.: Fr. | Grubet foldhat | LC |
| 23 | Helvella latispora Boud. | Bredsporet foldhat | DD |
| 24 | Helvella leucomelaena (Pers.) Nannf. | Sorthvid foldhat | LC |
| 25 | Helvella nigricans Pers. | Sort foldhat | LC |
| 26 | Helvella pezizoides Afz.: Fr. | | DD |
| 27 | Helvella phlebophora Sacc. | | DD |
| 28 | Helvella queletii Bres. | Queléts foldhat | VU |
| 29 | Helvella stevensii Peck | Lys foldhat | LC |
| 30 | Iodophanus carneus (Pers.) Korf | | LC |