After his binding start to his Pool career, Peach spent to next few years cementing his place at the top of the UK rankings, playing in between 25 and 30 UK ranking events per year. He slowly started to filter more and more European events into his calendar, along with the odd world major event. Peach competed in the World Pool Masters, reaching the semi-finals twice. He reached the quarter-finals of the 2004 WPA World Eight-ball Championship, where he lost to Michael Schmidt 10–7. Peach was also starting to knock on the door on the tough Euro Tour, reaching the semi-finals of the Austria Open. Later he reached the final of the German Open, runner-up to Oliver Ortmann.
