Klipsch RF-5 are good for average AV systems. Any DAC (including the one built into the Touch) should trounce a cassette deck (used to own a Nak 700 in the 70's). Pioneer made some decent receivers back in the day (used to own a SX-626). Check out your old gear to ensure they still work. Capacitors age, driver surrounds can decay, wood/glue can dry out and crack, dust gets in switches, etc.
Nowadays modern audio systems don't bother with receivers, instead you can connect to your computer and stream thousands of online sources for free or subscribe to Spotify (MP3 lossy format) or Tidal (CD quality) with access to millions of albums. NAD and NuPrime offer quality/reasonably priced integrated amps that are compact and use modern highly efficient amplification. Choosing speakers is as much a personal choice as anything.