と and や are used to connect two or more nouns.
Most of the time, と can only be used for a fixed number of items like:
(we need) keyboard and mouse
But や is used when there is a variable/unknown length like:
(we need) keyboard, mouse and probably LAN cables also.
Also や has some sense for "OR" or "AND/OR" in
I haven't tried Sushi and/or Sashimi in Japan yet.
But と only means "AND"
I haven't tried Sushi and Sashimi in Japan yet.
そして is used as a conjuntion between two phrases and has the sense of meaning "then ..."
～たり is used to connect two verbs and is used in the sense of giving examples, like Lukman mentioned in the comments:
～くて is used to connect to adjectives like:
She is pretty and has wonderful style
And yes, ～し～し is used to connect two adjectives, with exclusive positive or negative senses:
This room is clean, wide and also good partition, so most of the people like it.
That room is (a bit) dirty, (kind of) dark, and far from the station, so nobody bothers to rent it.
Normal usage of ～も is too / also, but there is some usage as "AND"
I like to have this, that and also that one, basically all.
And there are some more forms like ～かつ～ (plus .... or not only ... but also ...)
requirements and fulfill
and also 及びに、並びに、ともに、おまけに have a similar usage to "AND"