Is There a New Record Pressing Machine Out There?

The "no lip" LP is called a "flat profile", and was introduced back when Classic Records was in business. At least that is my understanding.

@bdp24 I recently recorded to hard drive the Classic Records 45 RPM Led Zeppelin box set. I do not recall the records having a flat profile, but maybe that came along after the set was published. There is an advantage to the flat profile and that is the record is nicer to cue manually. The stylus falls into the groove without skipping down the lip which sounds annoying. Since none of us use changers anymore the flat profile makes sense. The size of your mat would not matter either. 

I don't know for a fact, but VPI's choice to make their platters 11.5" in diameter may have been to prevent the lips of LP's to raise the outer portion of the groove (each LP side contains only one long groove) off the platter. 

@bdp24 They are not the only ones that do that. The Mat on my Sota is 11.5" in diameter for just that reason. Beyond that is the soft lip which forms the seal when vacuum is running.

I just happened to be playing Bags and Trade (45) - I'm pretty sure it's Analogue Productions and it's squared off with no "lip", but it still makes a little pop when the stylus enters the groove.

I know you are big on vacuum/suction @mijostyn , but for those of us who want the minimal vibration transferred to the record from the platter, you don't want the mat going to the edge of the record. The mat I use is hexagonally shaped (called the eclipse Hexmat) and doesn't reach the edge of the platter even at its 6 outer points. They also have a cheaper one called the Yellowbird I think, which has a little more contact surface area between the mat and the record.