As a precurser to the genres you mention, I would highly recommend learning some Motown. Some of it can be pretty complicated but a lot of it is great for beginners. Also the basslines aren’t as hidden under the other instruments as some newer stuff. It gives you a great understanding of chords and bassline construction.
Wheels on the Bus. (Round n round)
As a novice I enjoyed a lot of “4 chord pop” because the songs were enjoyable even if the bass lines were mostly just supporting.
Things like Green Day’s Boulevard of Broken Dreams, lots of early Coldplay or The Fray, Maroon 5, things like this were my bread and butter for something not too tough to figure out and play but still a rewarding song to play with