The most accurate ammo I know of is all reloaded on single stage, rigid, slow but very repeatable presses. There's one old RCBS A2 (circa 1961, grandfather of the Rockchucker series) that's been used to reload most of the 30 and 26 caliber ammo used by a family of 4 to win more matches and set more records than any other group of 4 known to me.
Depending on ones objectives for the ammo they reload, any one make and model of dozens of presses and dies will do just fine for them.
US Navy Distinguished Marksman Badge 153
Former US Navy & Palma Rifle Team Member
NRA High Power Master & Long Range High Master
NRA Smallbore Prone Master