*Club domestic league appearances and goals, correct as of 16:48, 5 January 2025 (UTC) ‡ National team caps and goals, correct as of 04:36, 28 September 2024 (UTC)
Following his release from Charlton, Browne went on trial with National League club Aldershot Town.[7] During his time on trial he scored in friendlies against Basingstoke Town and Chelsea under-21s,[7] and impressed managerBarry Smith enough to win a contract on 31 July 2015.[7] Browne made his competitive début and scored his first goal for the "Shots" in a 2–1 defeat to Gateshead at the Recreation Ground on 8 August.[8] He went on to score seven goals in 41 appearances across the 2015–16 season as Aldershot posted a 15th-place finish.
Grimsby Town
On 21 June 2016, Browne signed a two-year contract with newly-promotedLeague Two side Grimsby Town for an undisclosed fee.[9] He made his debut for the "Mariners" in the EFL Cup, coming on as a 55th-minute substitute for Sean McAllister in a 1–0 defeat at Derby County.[10] He made a further seven appearances for the club, all as a substitute, and new manager Marcus Bignot revealed that he was working to get the young striker a loan move closer to his family home after time spent on compassionate leave following the death of his father.[11] On 12 January, he joined National League side Macclesfield Town on loan until the end of the 2016–17 season.[12] He scored his first goal in his first league start for the "Silkmen", in a 1–0 win at Eastleigh on 21 February.[13] He scored four goals in six games of the club's FA Trophy run, including one in the final at Wembley Stadium, though Macclesfield would lose the game 3–2 to York City.[14] In all he scored six goals in 24 games during his time at Moss Rose.
Paul Hurst brought me in at Grimsby and left so there was a change in manager. After that it was a bit of a rollercoaster and not knowing how to settle so it wasn't anything about not liking it. A lot was happening with me off the field and I needed to play some games (out on loan) and take away what was going on. I was in a position where I was away from my family and not playing games.
— Browne arrived at Blundell Park at a bad time and found it difficult to settle.[15]
Yeovil Town
On 16 June 2017, Browne left Grimsby for Yeovil Town, signing a two-year contract for an undisclosed fee.[16] He stated that the "Glovers" aim was to achieve automatic promotion, though admitted that "I've never really played in this league before so I don't really know what the test is".[17] On 30 January, he scored past former club Grimsby in a 3–0 win at Huish Park.[18] He ended the 2017–18 campaign with six goals in 42 games as Darren Way's Yeovil posted a 19th-place finish. Having contributed just one goal from 30 appearances in the 2018–19 season and missing the end-of-season run-in with a hamstring injury, Yeovil released Browne following the club's relegation from the Football League.[19][20]
Port Vale
Browne signed for League Two side Port Vale on 27 July 2019, having been on trial at the club throughout pre season; he had previously played under manager John Askey at Macclesfield Town.[21] A hamstring problem caused him to miss the first month of the 2019–20 season, and he eventually made his debut for the "Valiants" on 14 September, replacing Callum Evans 35 minutes into a 1–0 win over Plymouth Argyle at Vale Park; ironically Evans was taken off due to a hamstring injury, as was winger David Amoo, leaving Browne with an opportunity to stake a first-team place in their absence.[22][23][24] He scored his first goal for the club in an EFL Trophy tie against Mansfield Town on 3 December.[25] After the game Askey commented that Browne "has a tendency to be lazy" but "has got a lot of ability [and] if he is confident then he can play at a high level".[26] Speaking in February, first-team coachDanny Pugh said that "he has done exceptionally well in the last couple of games... [though] it has been a frustrating season [for him and] maybe he has not played as much as he would have liked".[27] He signed a new one-year contract after he ended the campaign with one goals in 15 appearances.[28][29] On 29 August 2020, Browne left Port Vale having had his contract terminated at his request.[30] Askey cited family reasons for the player's departure, adding that "it was a shame because he was doing well".[31]
Non-League
On 23 December 2020, Browne signed for National League side Wealdstone.[32] He made only one brief appearance for the "Stones", in a 4–0 defeat at Maidenhead United on Boxing day.[33] On 6 January 2021, Browne signed for fellow National League side Sutton United.[34] He made 14 appearances in the second half of the 2020–21 season, as Sutton secured promotion into the Football League as champions of the National League.[33][35] However, he was one of seven players released in the summer by manager Matt Gray.[36] Browne returned to Wealdstone in June 2021, signing a one-year contract with an option for a second year.[37] On 13 November 2021, Browne scored his first goal for the Stones, coming off the bench and scoring the only goal in a 1–0 victory over Barnet at Grosvenor Vale.[38] In March 2022, Browne scored three goals in two games, with a goal away to Maidenhead United and a brace in a 3–2 win over Weymouth.[39][40] He ended the 2021–22 season with six goals in 29 games.[2]
On 14 October 2022, Browne joined league rivals Woking for an undisclosed fee, scoring seven goals in thirteen league games early in Wealdstone's season.[41] He scored 13 goals from 31 appearances in the remainder of the 2022–23 campaign, helping Woking to a fourth-place finish.[2] He featured 22 times in the 2023–24 season, including in the final day victory over AFC Fylde that secured safety from relegation.[2][42] Following their final-day survival, he was offered a new contract by Woking.[43]
Barnet
On 14 May 2024, Browne joined National League rivals Barnet on a two-year deal.[44]
On signing for Aldershot Town, manager Barry Smith said, "Rhys fulfils everything that we're looking for in a wide player – he's quick, he's got a trick, he's enthusiastic and has had a good upbringing in football. When you see someone as exciting as Rhys you want to have these type of players in your squad".[7] Yeovil manager Darren Way commented that "Rhys is technically a very, very gifted player and someone I've been aware of for the last two years. He likes to get the ball to feet, be positive in one-on-one situations and he's got a good end product in the final third".[49]