A prolific goalscorer, he was soon promoted to the first team before catching the eye of Shamrock Rovers who invited him to play as a guest in the 2009 SuperCupNI, an international youth tournament held in Northern Ireland and known then as the Milk Cup.

He featured in all three games in the League of Ireland promotion/relegation playoffs as Bray managed to stay up by beating Monaghan United on penalties.

[5] His first season with the midlands club was a success as he returned from his long spell out injured to make 23 appearances, scoring 5 goals as Longford reached the playoffs which Shaw missed through injury as his side were defeated 3–1 on aggregate by Waterford.

Longford were also runners up to St Patrick's Athletic in the 2014 Leinster Senior Cup and Shaw himself was voted on to the PFAI First Division Team of the Year by his fellow players.

[5] 2017 was a brilliant season for Shaw as he scored 11 goals in 28 league games for the Hoops, making 10 further appearances in cup competitions, including all UEFA Europa League qualifiers as the Hoops knocked out Stjarnan of Iceland courtesy of a Shaw winning goal away from home, before being knocked out by FK Mladá Boleslav of the Czech Republic.

[14] Shaw found it difficult to find full fitness in early 2018, having missed a large amount of pre-season due to a broken arm he suffered in the second-last game of the previous season against Bray Wanderers.

Shaw scored the winner in a 1–0 win away to Cabinteely in the Leinster Senior Cup Quarter Final on 15 September which turned out to be his last goal for the club.

[23] He scored on his second debut with a header in a 4–2 defeat to Cabinteely on the opening night of the season[24] and followed that up a week later with his second goal in 2 games against Wexford Youths in a 2–0 victory at the Carlisle Grounds[25] before sport in Ireland was suspended due to the COVID-19 pandemic.

He made his international debut in a 5–0 win over Luxembourg in Bulgaria, starting up front alongside Robbie Brady in a team which also included Shane Duffy, Jeff Hendrick, John Egan and Daryl Horgan.