For the Peerage of Ireland, two examples come to my mind.
The first example is the Viscountcy of Massereene and the Barony of Loughneagh, created in 1660 for Sir John Clotworthy, of County Antrim. The peerage is granted with remainder to his heirs male, failing which, to his son-in-law, Sir John Skeffington Bt, and his heirs male by Mary Clotworthy (daughter of the grantee), failing which to the heirs general of the grantee’s own body.
The second example is the Barony of de la Poer (or la Poer), which title was recognized by the Crown in 1767 to have existed, to Lady Katherine, only daughter and heiress of James, 3rd Earl of Tyrone. She presented a claim in 1763 alleging to a “Barony of le Power” being created by writ of summons in 1375 to the Irish House of Lords and that she was the heir general to the title. Obviously, a barony in fee in the Peerage of Ireland is unheard of and the decision to permit Katherine to claim the barony is contentious. Nevertheless, the barony exists the only barony in fee in the Peerage of Ireland, with the majority of other Irish baronies being held to have been created by prescription and heritable by heirs male.