So you want the field tbl3.t3key for rows where tbl3.t3id matches tbl2.anotherid and tbl2.id = tbl1.id?
You can't do that with subqueries, but just about every subquery can be written using joins instead and doing so makes all of the values in those "lower" tables available to your "top-level" query, something like this:
SELECT
t1.tbl1field
, t3.t3key -- field now available to be queried
FROM tbl1 AS t1
INNER JOIN tbl2 AS t2
ON t1.id = t2.t2id -- replaces: t1.id = (SELECT t2.t2id ...
INNER JOIN tbl3 AS t3
ON t2.anotherid = t3.t3id -- replaces: t2.anotherid = (SELECT t3.t3id ...
Also, on a stylistic note, don't prefix field names with the table name.
It's redundant and you can always add an alias in your query to distinguish, say, one "id" column from another (not that you should ever "leak" those id values outside your database, but that's a whole other story).