I look at old specs and they will be 'triple conversion'..even 'quadruple conversion' for the receiver.
NOW double is SUPER ? Does not matter anymore ?
Not really. Some great receivers today are direct conversion (RF operating frequency to audio), thanks to modern technology.
I need a receiver that 'what you hear is what you get'. --ya know..a signal on 2342 khz is actually a signal... Something on 7087 khz is actually there vs. some 'who knows what'.
Unless your receiver is being overloaded, most perform like this. Strong-signal handling is one of many figures of merit for receivers, and if you're next to a broadcast station or something, this might be an important one for you.
Amateur Radio. Most transceivers also cover 'general coverage'. (?) Maybe an option for a 'narrow AM Filter' if you want to even listen to AM 530-1700 khz. Shortwave ?
If you want AM to sound good, you wouldn't want a "narrow AM filter." Many ham rigs use an attenuator when switching down to AM BCB, to prevent overload. Most are not the best for AM BCB reception, a typical car radio is better.
Kenwood TS480 ? TSB2000 ?
TS480s a good choice and a lot of bang for the buck. The TSB2000 requires computer control, it has no front panel -- very different kind of rig. It's also above $1K as far as I know.
Icom IC-718 7000 ? IC706MKIIG ? IC7200 ?
The 706MK2G is discontinued. The 718 is way under $1K and well liked. The 7000 is above $1K and well liked, but it's a small rig that for me is "too small" for home station use -- better for mobile/portable work. Never used a 7200 yet.
Yaesu FT897D ? FT450 ? FT857 ? FT950 ?
The 857 and 897 are the same rig, different packaging and options. They're both really small and too small for me for home station use, better for mobile/portable. FT-450 is also very small but more modern and can have an internal tuner. FT-950 is by far the best of this Yaesu list, but it's over $1K.