The fifth-placed Stars, who started the game one point behind Adelaide Strikers, were restricted to 8-137 on a tricky Marvel Stadium wicket that offered bowlers spin and movement.
Hilton Cartwright top-scored with 38 for the Stars as they reached 8-137 against the Renegades. (Joel Carrett/AAP PHOTOS)
Four players passed 20, but Hilton Cartwright (38 off 30 balls) was the only Star to pass 30.
Finch, the Renegades all-time leading scorer who is playing his last game of professional cricket, had his team jersey number retired before the game Â
Finch's old housemate and Victorian and Australian colleague, Glenn Maxwell, briefly threatened to be a party pooper as he blasted his way to 20 off 10 balls.
Maxwell blasted 16 off three successive balls in Tom Rogers' second over but could've been out for seven when Fergus O'Neill dropped a tough catch at deep midwicket.
It was a brief reprieve as he was caught at deep cover off Kane Richardson off the first ball of the next over.
Quicks Tom Rogers and Richardson (2-17 off 4 overs) each picked up a wicket with their first delivery after the Renegades raced to 0-21 off the first two overs.
West Indian spinner Akeal Hosein, playing in the first of just two BBL games for the Renegades, extracted significant turn from a receptive pitch.
Hosein (2-18 off 4 overs) bowled Marcus Stoinis with one that spun sharply and had Beau Webster (29 off 34) caught at deep midwicket in the Power Surge in the 15th over.
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