Pistol-caliber lever-guns are quite useful. Usually hold more than 10 rounds and, with practice, are quite fast.
Miroku/Winchester model 92 or Marlin “cowboy” can be had in common pistol calibers. May or may not adapt to .38/357 length differences, though.
Mine are .45LC to match my Ruger Vaquero revolvers.
Rossi .357 magnum lever gun shoots both .357 mag and .38 special.
Paired with a .357 revolver you have a nice combo.
Or H&K USC + a 1911 style pistol if you have the money.
Or an UZI & a Sig 226
Or .44 mag Henry lever gun & 44 mag revolver if you can afford the ammo.
The options are endless!