iim7v7im7,
Of the shortlist, I would choose the Grand Seiko mainly because I have one and it works very well indeed.
Original chronometry results in the +/- 1 sec/day range and in actual use, about that.
But your price range just about reaches another understated ultra thin, elegant watch: Zenith Elite Ultra Thin.
In stainless steel, the 7.6mm thin case comes with 4 dial variations (silver sunray, black sunray, silver sunray/diamond markers and white lacquered roman numeral).
Ref numbers start with 03.2010.681/.... for the line.
Elite 681 movement: automatic 3.81mm height 28,800 vph.
Regards,
MTF