With that said, there are no German bombers with range. Lusche, is that accurate?
Well at least one anyway Condor anyone?
Depends on how you define "range"
But first, the FW 200 was no bomber, and it was never used that way. It was a commercial airliner made into a maritime recon plane with the capability of carrying some bombs along... but it's success in that role (for a limited time though) wasn't really a result of the designs strengths as a bomber (or even combat plane)
But yes (or no? lol), the LW had no bombers comparable to the B-17 or B-29 with it's combination of payload, range and sturdiness. German plans didn't call for any bombers fulfilling a purely strategic, long range attrition bombing role, thus the lack of such heavy bombers. The He 177, planned as a kind of hybrid wasn't really one either, and ultimately failed at that role. Later in the war, when the lack of a long range "heavy" was felt, it was too late (both in terms of time as well as resources) to design and introduce one. There were a few prototypes and studies (most notable the He 277, He 274, Ju 288, Ju 488 and Me 264) but that's it.
Germany's main bombers during the war:
He 111
Do 17
Do 217
Ju 88
Ju 188
He 177
All but the 177 were merely medium bombers by Allied standards, though the Luftwaffe considered the Do 217 to be a "heavy" one by their own standards, particularly before the introduction of the He 177.