Unsurprisingly, it wasn't until he changed his original stage name---Leonard P. Kravitz, CPA---that he really found fame

"You must be older than 'It Ain't Over 'Til It's Over' Mama Said to drink in this establishment."[fn1]

I would have loved to date this one "older than Lenny Kravitz's" career, but it's actually his second album.  His first, Let Love Rule, predates this by a couple of years, although it didn't crack the top 40 and doesn't seem to have gotten much commercial attention until interest was sparked by his sophomore effort (eventually made gold, in '95).
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fn1:  Whoops, the single and the album have different dates.