I have struggled with this for a long time.
One solution is to find somebody to sing while you play. A spouse, a friend, a son or daughter. This is really very rewarding.
Lacking a singing partner (like me), another approach is to find songs that have distinctive riffs or single note runs that make the song recognizable. Like “Needle and the Damage Done” or “Heart of Gold” (lots of Neil Young songs fit this mold). It can be pretty satisfying to play something that others (and you!) can recognize. “Feels Like Teen Spirit” is also quite recognizable just from the chords/rhythym), and if you can manage the easy 1-string solo, that also is very satisfying. There are many songs like this. Of course, this requires a step up in guitar playing, beyond basic strumming.
Lately, I’ve been focusing on acoustic blues arrangements that I can play as instrumentals. I’m not that proficient at this style and it can take me quite a while to learn a song (months, although I’m usually learning a couple simultaneously). I will say, once a song is under my belt, it’s great to be able to play an instrumental from start to finish. Obviously, this sort of thing is for more advanced players.