As always for achieving 100% certainty in bullet identifying, precise measurements of a bullet's diameter and length in 1/100ths-of-an-inch are needed.
Meanwhile... comparing your bullets with the size of your fingers in the photo indicate some of your bullets are from the civil war era, others are from the yankee army's postwar Military Occupation of the defeated southern states (1866-1876), and others are from the 1870s/80s.
Here's my "eyeball-only" guesses until you can provide precise measurements, and photos showing the bottom of the bullets (flat solid base, or some form of cavity in the base).
First photo:
At bottom, what looks like a civil war "generic" yankee 3-groove .58 minie-bullet.
At left, an 1870s/80s "flatnose" .44 bullet, possibly a .44 Henry, but there are several other possibilities.
Elsewhere, five US Springfield Model 1866 through Model 1871 .50-70 Rifle bullets.
Second photo:
At left, what looks like a civil war era .577 Enfield minie-bullet.
At upper left, what looks like a civil war .45 Whitworth Rifle bullet -- but I need to see its base, because it might be a postwar .44-77 Sharps Model-1869 Rifle bullet, which is what all of the other bullets in that photo are.
If you don't own (or cannot borrow) a digital caliper for measuring in 1/100ths-inch, go to the following website and enter the word "caliper" in the search-box at the top of the webpage.
Harbor Freight Tools ? Quality Tools at Discount Prices Since 1977
You can buy an excellent 4" stainless-steel digital caliper there for $14.95.