Encouraging donations and, therefore, more nodes to be run
I'm not interested in being paid for running full nodes.
Fair enough, good for you. But the lack of incentives definitely makes fewer nodes to be available. I'm running a full node regardless of whether I get paid or not (I'd prefer if donations cover at least partially the cost of course but I'll continue regardless). However for most people that's not the case.
It wouldn't work out well anyhow. Users would create multiple accounts and claim on every account that they were running a full node. Then they'd set up fake full nodes so they could get paid.
I'm just suggesting a list, not an automated paying system. Besides addresses can be verified at least to some extend, for example through
bitnodes.
Connecting to nodes held by users you trust
Bitcoin doesn't require trust.
Yes, most of the cases. But I'm thinking on special cases like connecting to a single trusted node on
Bitcoin Wallet for Android.
If you want to get paid for running a full node
The main objective of this (draft) idea is to increase the number of full nodes in general.