Uploaded the initial records for
the first 10 Fun levels!

Note that, since I'm the only player who's contributed so far, I have only indicated my name for records that are either possible to beat, or otherwise non-trivial.
For unbeatable, trivial results (such as 100% on a level that requires 100%), I've indicated the Player Name with a (*), since it's highly likely that others have achieved this same result.
For unbeatable,
non-trivial results (such as 100% on a level that requires <100% and involves a fairly tricky solution to
achieve 100%), I've indicated my name for now, but will change it to (*) when others have confirmed that they have also achieved this result.
(
The following has also been added to the OP):
Since SuperLemmini does not show time elapsed upon level completion,
time records do not require a replay for verification (although it may be prudent to include a replay if you're certain it's the one which created the time record, and it's a particularly interesting or surprising result). Otherwise, a simple screen shot of your records from the levels menu will do.
Having said that - and since this is mostly all about getting involved and enjoying sharing your results with others - replays, videos, screenshots, or anything else you can share along with your result are heartily encouraged, should you wish to include them

Again, a quick reminder that if you want to get involved but also wish to remain anonymous, please PM me your result and I'll add it to the OP table unnamed. Thanks!