The other coin types that usually are collected with the Three Cent Nickel series are also known as the odd denominations.

Two Cent Pieces 1864-1873
Three Cent Silver (also known as Trimes) 1851-1873
and sometimes the Twenty Cent Pieces 1875-1878
Half Cents  1793-1857 are sometimes considered an odd denomination but they are normally collected with the Large Cents, not the 2c, 3c, & 20c series.

Business Strike collections of these series consist of the following.


Two Cent Pieces (90% Copper, 10% Tin and Zinc)

1864 Small Motto
1864 Large Motto
1865 Fancy 5
1865 Plain 5
1866
1867
1868
1869
1870
1871
1872

Then the proof only issues are:

1873 Closed 3
1873 Open 3


Three Cent Silver - Trimes

Type 1 - No outlines in star (75% Silver, 25% Copper, the only time this composition was used)

1851
1851-O (The only branch mint issue in the series, from New Orleans)
1852
1853

Type 2 - Three outlines in star (90% Silver, 10% Copper, this is the normal composition used for US Silver coins)

1854
1855
1856
1857
1858

Type 3 - Two outlines in star (90% Silver, 10% Copper)

1859
1860
1861
1862/1
1862
1863*
1864*
1865*
1866*
1867*
1868*
1869*
1870*
1871*
1872*
*These dates were almost all melted and are very hard to collect.
Many buy proofs for these years.

Then the proof only issues are:
1863/2
1873 Closed 3 only


Twenty Cent Pieces (90% Silver, 10% Copper)

1875
1875-CC
1875-S
1876
1876-CC**
**This issue is usually not collected because so few exist.

Then the proof only issues are:
1877
1878