The older 110grn .38 JHP loadings like the Federal Hydra-Shoks and Winchester Silvertips were some of the earlier attempts at getting a standard pressure .38 that would reliably expand. Basically, with the JHP technology of the time, you had to use either a very light-for-caliber bullet (110grn) to get enough speed to reliably expand at non-+P pressure or a dead-soft lead bullet (Federal NyClad) in order to get expansion at lower velocities. The problem was (and still is) that both of these solutions typically give you expansion at the cost of adequate penetration. It was for this reason that the standard-pressure .38 was largely abandoned as a defensive cartridge and most of the newer loadings developed for .38 +P.
Unfortunately for those who must stick with standard-pressure loadings either because they are recoil sensitive or their gun is not rated for +P ammo, the selection of good standard-pressure .38's is rather limited. Personally, the only standard pressure .38 loadings I would trust would be either Buffalo Bore's 158grn LSWCHP or Hornady's 110grn Critical Defense. The Buffalo Bore seems to give the better performance of the two, but that performance comes at the price of significantly more recoil. The Hornady, while still a bit shallow penetrating for my taste, seem to be better than just about any other 110grn .38 loading at will not beat up the gun or the shooter.
If whoever asking the question could use +P ammo, the three best choices, IMHO, are Buffalo Bore 158grn LSWCHP +P, Remington 158grn LSWCHP +P, and Speer 135grn +P SBGD.