I am far from expert in telescope technology, but there may be better and bigger ways to view the universe. Most my ideas are probably currently infeasible.
My first wish is for a telescope further from earth, maybe orbiting another planet, the moon or the sun. But also we could send a telescope away from our solar system, despite hurdles in data transfer.
Actually two telescopes traveling in opposite directions could eventually produce a '3D' image, which could do wonders in evaluating current techniques for measuring star distance.
Last of all I believe we can invent a better way to capture a wider intake of star light. It is just so expensive to make those huge mirrors.
Further from Earth
This is not necessarily useful of itself. But further away there are less problems with gravity gradient and atmospheric torque. Of course, as we go further, more energy is needed to send information.
Far from Earth
Even one device far from earth could help give a side view of what we see locally. Consider the possibilities of having this depth of perception.
How far away does it need to be. I'm guessing even a 1/100000000 lateral change compared to star distance will add significant dimension.
So for stars less than a thousand lightyears, we'd need to be 10 millionths of a lightyear out, which is somewhat feasible.
Here are some non-expert ideas for traveling really really far.
At some point it may be useful to use an explosion shooting two objects apart— shooting like bullets rather than rockets. So a long cannon-like barrel explodes two devices oppositely and the power of the explosion determines the speed they go out.
One weakness of this idea is that something heavy/strong must be sent to space. But two objects pushing away from each other means fuel is not the only source of mass creating movement. I guess rockets currently do this. Imagine acceleration from a nuclear explosion, however. (These ideas may be infeasible due to damage.)
A Huge Telescope
Two separate parts, maybe even a mile a part. One is a receptor of reflected light. The other is a large skeleton structure holding many sets of tables having many tiny mirrors. Each table can move to face the receptor. Each tiny mirror could be controlled with electronic precision somehow to face the receptor.
The biggest problem is that even small or tiny mirrors may skew the image when they are perfectly flat. At a mile away, the parabolic shape over the length of the tiny mirrors may be infinitesimal.
Smaller mirrors may be easier to construct precisely.