Good point: unless it’s completely random it’s never entirely avoidable — there’s an element of skill. And I still think that Dominion can be very fun with beginners (that’s my experience at least).

That said, there are games that level the playing field without yielding entirely to chance; such as Dixit, where advantages are rather gained from knowing the other players.

Games can have strategic depth that is only mildly helpful in improving the odds of winning. Arguably Carcassonne is like this.

In games with higher interaction newbies can effectively gang up on the experienced leader. It has its issues, but it works.

I find Tanto Cuore makes a nice sweet spot - it's mostly as parallel as Dominion, but adds just enough interaction. Normally I'll get about 3/4 of the way through a game with newbies and then they'll go a couple of rounds of all buying me bad habits, and I'll smile because they've got it, and end up on a negative score.