03 Springfield-Should be a 30-06 caliber if it is original.
could be a 30-03 (30-06 PARENT CARTRIDGE But a bit shorter)
but have them both inspected by a competent gunsmith.
Collectors love these, so the price is staying relatively high.
The 03 has a reputation for being a little fragile for a combat weapon
but this is unfounded. They are great and accurate rifles.
As far as I know, the U.S. military used them in the sniper role
in WWI, WWII, Korea and Viet-Nam.
Hollywood started the misconception that this is the rifle that
was used by SGT. York in WWI to win his Medal of Honor,
but it wasn't, He used a model 1917 Enfield. (And a Colt
model 1911 pistol, not a Luger like in the movie)
The second sounds like a French "La-Belle" or Berthier.
I think the cartridge there is the 8mm La-belle. This is the rifle
that made the European Military planners swap from big bores
to small bores, as it was the first military cartridge to utilize
smokeless powder. (high velocity) They are not that collectible
Value wise, but if it is in good condition it would be a fun shooter.
Ammo is "Costly" Though when you can find it.