result_list = [
    '0 instances of 44 bpm',
    '0 instances of 45 bpm',
    '10 instances of 46 bpm',
    '22 instances of 47 bpm',
    '354 instances of 65 bpm',
    '20 instances of 145 bpm'
]

strip_zero = [x for x in result_list if not '0 instances' in x]

print(strip_zero)

['22 instances of 47 bpm', '354 instances of 65 bpm']